{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Replication file for 'The Intertemporal Keynesian Cross'\n",
    "### Testing determinacy in the IKC environment with the winding number"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adrien Auclert, Matt Rognlie, Ludwig Straub\n",
    "\n",
    "April 2024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import json\n",
    "\n",
    "import jacobian_manipulation as jac\n",
    "import calibration\n",
    "import models_analytical, models_heterogeneous"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preliminary: calculate A matrices for all models.\n",
    "Here we follow the same steps as at the beginning of `main_sec5.ipynb`, to obtain asset Jacobians for all models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('solved_params.json', 'r') as f:\n",
    "    params = json.load(f)\n",
    "\n",
    "T = 500\n",
    "r = calibration.r\n",
    "_, As = models_analytical.MA_all(params, r, T)\n",
    "\n",
    "hh_het, ss_het = models_heterogeneous.get_all(params)\n",
    "for m in ss_het:\n",
    "    As[m] = hh_het[m].jacobian(ss_het[m], inputs=['Z'], outputs=['A'], T=T)['A', 'Z']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Determinacy testing and quasi-Toeplitz structure\n",
    "As discussed in the text and appendix, the RA, TA, and ZL models all have a certain form of indeterminacy, which is that any permanent change $dY_t=dY$ continues to satisfy the IKC. Our multiplier formulas apply to cases when $dG_t,dT_t\\rightarrow 0$ and then we select $dY_t\\rightarrow 0$.\n",
    "\n",
    "## Validating quasi-Toeplitz structure\n",
    "For other models, we will verify uniqueness and existence of solutions by verifying the invertibility of $\\mathbf{A}$, as discussed in Proposition 2. To do so, we will use the *winding number criterion* for quasi-Toeplitz Jacobians introduced in our companion note, *Determinacy and Existence in the Sequence Space*. First, we need to verify that indeed the Jacobians are quasi-Toeplitz. The key requirement is that the fake news matrix $F_{t,s}$ of the models obeys some bound $|F_{t,s}|\\leq C \\Delta^{s+t}$, where $0<\\Delta<1$. In other words, both rows and columns of the fake news matrix must eventually shrink exponentially at some rate.\n",
    "\n",
    "First, we construct the fake news matrix corresponding to each asset Jacobian, excluding RA and TA which are not quasi-Toeplitz:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "qt_models = ['BU', 'TABU', 'ZL', 'HA-hi-liq', 'HA-one', 'HA-two']\n",
    "Fs = {m: jac.F_from_J(As[m]) for m in qt_models}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we plot on a log scale the maximum size of each column, noting that each model's columns eventually decay at a constant log rate (until numerical zero is reached):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for m in qt_models:\n",
    "    plt.plot(np.log10(np.abs(Fs[m]).max(axis=0)), label=m)\n",
    "plt.ylim([-10, 0])\n",
    "plt.ylabel(r'$\\log_{10}(\\max_t F_{ts})$')\n",
    "plt.xlabel(r'Column $s$')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we make the same plot across rows. Note here that convergence is somewhat slower, especially for HA-hi-liq and HA-two. This is because farther-out columns measure shocks that are *anticipated* far in advance, and anticipation in any of our models decays at least at the rate of discounting $\\beta$. Here, farther-out rows measure the *persistence* of behavior, which can be much closer to 1. HA-hi-liq and HA-two have behavior that is closest to the unit root in the RA model; HA-hi-liq because agents are near-saturated with liquidity, and HA-two because in our calibration, the illiquid account is very persistent."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QVUlDVSU5m9v3KwowmQkbMbItYXI/wuJHEBoTh1bXtb+OgYccQtIbb1C3ahVlix/DXlBA4bXXEXTkkcTceQcBY8b49OsXQggxvEhyNEB5umRXNtpItSSztnkLKip1FS001rZiCvH/NJJOr/f2U9pda1MjFfl5VOTlUFWYT1VxIVWFBdRVlNHS2EDxn39Q/Ocf7a7RaLWExMQRHj+irUYqntCYOEJj4wgOj0TRtO9Xqmg0hJx+OsEnnEDFiy9StfQlmjZuJHvWmYTNmUPUddeiDQ3t62+BEEKIIUiSowEqoq0RZGWDjUNiDsFWuZGGwGKCm+Mpyaxl9GEDtxDZGGTaY9UcgN3WSk1xEVVFBe5HYQHVbYmTvbWF6qICqosK9rifVqcjJDqW0Ng4QmPiCImJIyzW/TEkOprof/6T0LPOpuzRR6n/5BOqX3+dutWribrhekJnz0YZoA0whRBCDEySHA1QkWbPyFErqYmTYcf/yA/OYmxzPMUDPDnqjN5g7HCkSVVVGqoqvUlTdVEhNaXF1LStmnM6HN7X/kpRNARHRrkTp3FWAq2JuL74En1ePk0PPEDVm28Sd9ddBE2c2F9fphBCiEFOkqMByjOtVtVoIzrqcIJdKsWWbMaWHUdxZq2fo/MtRVEIjogkOCKSxIPGt3vN5XJSX1HhTpZKir0fa0uLqS4txtHaSl15KXXlpeT91naREUgdCYDGZSPw/jsJDgkjcsIEQkclYYmKxhIVgyUqCnNo+B5TdkIIIYY3SY4GKM+0WkWDDUWjIVUxkh6c5T6WV4/d5kRvGPrTRRqNlpDoGEKiY/ZInFRVpam2huqSImpLS6gpKaK2vIy68lJqy8toqKrEpdHQGGCgsbWRku/Ww3fr291Dq9MRHBHVljBFYw6PJDgiguDwSMzhEZgjIgkwmWUVnBBCDCOSHA1QEbutVgOwBkTxC4WohkZcNhNlOXWM2G/g7Y3WnxRFwRQahik0jJH7H7jH606HnfrKSip+/pGC5cupLS6k2aCjJdiMLTyUhsYGnA5H2xRecafvozMYCY6IcCdO4RHepCk43D3aZQ6PIMgSIiNQQggxREhyNEBFmHdNq6mqSmpoKpQWUh+chaXyIIoza4d9crQvWp2e0JhYQqefzuhTT6Nu1WrKHn0UR767kWXgscdiuvpKWgMDqC0vpa6izNuCoL6qkobKCprr63DYWqkuLqK6uKjT99JodW2JWiimsHBMIWGYwsLajoW7P4aFERQShk6v769vgRBCiB6Q5GiA8tQcOVwqdc0OrLEToHQdeaZ0xlUeREnW0Ko76muKohBy2gyCj59KxZL/UfXyyzR/+y3NGzcSPm8e+//jarTBwXtcZ7e10lhVRX1VBQ2VFe6kqaqS+soKGqrczxtrqnE5HdRXllNfWb7PWALMwd4RL1NoGEGhYZjbPgYFWwi0hBBoCSHIEoLOYOiLb4cQQoi9kORogDLqtAQbddS3OqhsbMWaOBm2PMbOkGzGASWZtXvdhFZ0TGMyEX3jDYSedSalD/+bhq++omrZMmo/+ojoG28kZNbMdtNjeoPRvRIuNq7TezodDhprqmisqaaxutr90fN8t0dTTTVOh4OWhnpaGuqpLMjbZ7yGwEB3ohQcQqDFQlBIaNtzizeBch9zP9cb/N//SgghBjtJjgawCLOhLTmykZKUTJRTpTKoAI1OpbXJQXVJE+HxJn+HOSgZEhNJeO5ZGtavp/ShRdhycihesIDqt94idsGdBB5ySJfvpdXpsERGY4nce3sFVVVpaWygsfoviVPb86a6Wppra2iqr6O5rhaX04mtuRlbczO1pSVdikVvDCDQYiHAHOx9BJrN7Z67H2YCzRYCzGYCzGa0OpnqE0IID0mOBrBwk4GcyiZvUXaqNohymtGFVWErj6A4s0aSo14yT5qE6aijqFr+KhXPPkvL1q3knDuHkFmziL7xBnRRUT57L0VRCDQHE2gOJjIhca/nqqpKa1MjTbW1NNfV0lTf9tHzvK6W5vq6XQlVXR0upwN7awv28hbqysu6FZs+IPAvCVNbAhVswRhkwmgyuT96Hrs9l6k/IcRQI8nRAObtkt1oA8AaFMd3TVk0BGVgIIKSzFoO/NsIf4Y4JCgGAxGXXEzI6adR9vgT1K5cSe3KldR/+imR//gH4fPOR+nnBEBRFAJMZgJMZojf95+xqqrYmptoqq2hpaGB5oY6WhoavFN4zfXujy2Nu4611NfT0tQIqoq9pRl7SzP1FfuumforrU6H0WTGGBSEMciEIchEQNtHdxIVhDGo7fXdzwsMwhAYiCEgEK1eL+0ShBADhiRHA5i3S3ZDW3IUPgaassgP3MZojhxyzSD9TRcVRfyihwibcy4lDzxIy2+/UfbII9SsWEHMnXdi/ttx/g6xU4qieEdyusPlctLa1NQ+YWqop3m3xKq1sYHW5iZaGxtpbdr90QSqitPhoKm2hqbamh7Hr9FqMQQEom9LlgyBge7kqe1zvefYX15rf34ghgB3wqWRLWOEEL0gydEAFv6XXkepcYdDwRp+C9rJaAVqy5tpqrMRZJFpDV8KPOQQkt56k9qV71P2+OPYsrPJv+wyzMcfT8ztt2EYNcrfIfqMRqP1TvV1l+pyYWtpobWpgdamJncS1dS0K3lqS6ZsTU20NDVi2+1Ya1MjtuZm7K0tALicTveoVmODT74uncGIPiAAvTEAvdHY9ghAHxCAznssoO2cts/39bztfpJ4CTH0SXI0gEWY2k+rpSRNRfnxXkqMLYRE66kttVOSWUvKob6rixFuikZD6FlnEnzySVQ88yxVr75Kw5df0rhhA+EXX0zk5ZehMQ3vei9Fo2mbIgvq8T1cLif2llZsLU1txedtH1uasbcVo9taPB/dr9nbHWtud53L6QDAYWvFYWulGd+Prmp1OvTGAHTtki/3R53BgM7g+ej53P1c/9fXjEZ0+r+e6/5cbzSi0xuksagQfiLJ0QAW8ZdptaCgSEa6FPK1YAivhFILxZk1khz1IW1wMDG330bo7LMpffAhGr/7jsolS6hduZLoW27BMmO61Mr0gkaj7XWCtTuH3Y6tuQl7SzO2lhYcra3uIvXWFuwtLdg9z3f//C/P213T2tr2WguqywW4Wzc4HQ3go1GuvdHq9e0SJ72hswSs/TGtTo9Or0fr+dxgcD/X69Hq3Z/r9IZdzw1673lavQGtTid/r8WwJsnRAOYZOapqGzkCsOos5Kt1NAb+ARwhdUf9xDh6NAlLX6Thyy8pXfQw9oICim65heo33yT2rgUEHHCAv0MU0PZDPwQsIT69r9pWW7UrkWpLolpasNt2JVUOmw17q3vUymG34bDZcNha247tet7+8/bPnQ6H932ddjtOu53Wxkaffj1doW2XQLk/b5dgGdxJlE5vQLtH8mVAq297bbfrPImbVq9Hq9O5P9fp0Or1aHQ6dG0fPcmdpu11SdREf5PkaADzjhw1tnqPWc0j+Kq+jgL9L4RzBOV59ThsTnTDYBNaf1MUheATTsB03HFUvfwyFUv+R/OmTWSfdTZhc84l6rrr0IaG+jtM0QcURWlLvPQ9qs/qDpfL2WEi5U269nht10e7zdaWUNlw2O04bTYcDneC5bDZcDrajtntOB1tx+x2HHb3x915ErOBQKPV7Uqo9Pp2SVWHSVZbAvbXhMudmO3+eQf3kcRNIMnRgObZfLaq0YbLpaLRKOwXeSDU72CnmsEJFgNNdTbKcuuJTw31b7DDiMZoJPLKKwk54wxKH3mE+jVrqX79Deo+XkPUjTcQetZZKFK0K3pIo3Gv3DMEBPbr+3pGx5z2XQmTw2bfLaGy4bQ72j62JViexMpmw+lweEfL3Ne03aPtPPc1bcmbw9H2cdfnLocDh8P90eV0tovN5XS4+3j163ekazRaXVsypUPT9tDqdGi1uz73fmx3rh6tVtuF1/Rtx7RodW0JmlbrTc7c1+722h73+stHjfzf1BWSHA1gYW3JkUuFmmY74SYD1hFHQ/Y7ZCg2zk+xkLW5gpKsWkmO/EAfF8fIJ56g8dw5lD74AK3pGZTcfQ81b71N7L/uInD8eH+HKESX7T465m8ulxOnw4HLm0Tt9tHRllTZ7TjtDpxOe8fn7HbM5XTgaEvA9jyn42u6nbi1dvLFDDSKsltS1YvkTfeX5E3bleRNu+s9Pcc6eA/PMUNAgN+690tyNIDptRpCg/TUNNmpbGgl3GQgceSx6FSVRo2CKcpdECqb0PqX6agjSX7vParfeIPy/zxNy7Zt5Mw5z91l+6Yb0UVG+jtEIQYVjUaLxqCFAbhXoMvlxOVwepMph92Oy+nE5XTsSugc9rZz2pI3hwOXw4nLm4g5vOd7rmn3vN292j56j9lxOpze15wO9/vves3hfe502L0LCbxUdUBNme5N2j9uZOyk4/3y3pIcDXDhJoM7OWq0kQrojSaSVC0ZiotGwzZgNCVZtaiqKnPffqTo9YRfeCGWU091d9l+7z13l+3PPiPq2msImzsXZQD8Ri6E6B1P4jZYts1RXS6cTudfEif7nslXh4mZfbdEqy35cjo7eK1tVK6TBNCd3DnbXe9+bbek0unwJpSelhz+7CkmydEAF2kyklXe6F3OD5CqDyXDWUWh8wc0OivN9XbqKpoJifLNcmjRc7rISOIfepCwc2ZTcv8DtGzbRumih6l55x1iFizAdNRR/g5RCDGMKBoNOo0GBtEvZ6qquke8/Pj7/rDqMJaTk8Mll1xCcnIygYGBjB49mnvuuQebzbbvi/3E2yV7txVrqRb3pqWZjVlEj3KvnCmRJf0DSuD48SS9/Rax992LNjSU1vQM8ub/nYLrb8BeXOzv8IQQYsBSFMVdd+TH4vFhlRz98ccfuFwulixZwrZt23jiiSd4/vnnufPOO/0dWqf+2ggSwBp1MAAZtipiU9z9XIqz6vo/OLFXilZL2DnnMHrtGsLmzgWNhvq1a8k8dToVzz+Pq3WwVHAKIcTwMqySo2nTpvHyyy9z8sknk5KSwumnn87NN9/Me++95+/QOhVh9mwhsluvo5HHApClOIlKdE+lycjRwKUNDSX27n+R/N67BE6YgNrcTPmTT5F12unUr1vn7/CEEEL8xbBKjjpSW1tLeHj4Xs9pbW2lrq6u3aO/7N7ryGNE/OEEulRsioIjYCcAlUUN2JodHd5DDAwB++9P4qvLiX/0UXRRUdjz8ii48iryr7gSW26uv8MTQgjRZlgnR5mZmTz99NNceeWVez1v0aJFhISEeB8JCQn9FOGuabWK3abVNFodVtzFdQU132GJDAAVSrNlam2gUxSFkNNmkLJmDeGXXAx6PQ1ff03WjNMoe+JJXE1N/g5RCCGGvSGRHC1cuBBFUfb6+Pnnn9tdU1RUxLRp05g9ezaXXnrpXu9/xx13UFtb633k5+f35ZfTjrcgu6F9fYo1IAKAjIpt3rqjkmyZWhsstGYTMbfcQsoHH2A69lhUu53KJUvIPHU6dWvWoKqqv0MUQohha0gs5b/mmmuYM2fOXs9JSkryfl5UVMTUqVM5+uij+d///rfP+xuNRoxG/zQjizTvufksgDUkBcpLyWjI528pIfz5Y6nUHQ1CxpRkEl58gYYvvnBvaFtYSOENNxL05lvE3rUAY2qqv0MUQohhZ0gkR5GRkUR2sQtxYWEhU6dOZcKECbz88stoNAN78MxTc1TdZMfhdKHTuuNNjTkMyr8n3V5L7Oi2kaOsWlSXiqKRZpCDiaIoBJ94IqbjjqPyxaVUvvACTRs3kjVzFuHzzifymmvQBvftZqdCCCF2GdiZgY8VFRUxZcoUEhISWLx4MeXl5ZSUlFBSUuLv0DoVGmTA0/i6umlXu/fUUZMByNOomMLs6IxabC1Oqoob/RGm8AFNQABR1/yDlNWrCT7pRHA6qXrl/8iclkbNu+/tuQ2AEEKIPjGskqNPP/2UjIwMvvzyS0aOHElcXJz3MVBpNQrhQXs2goyIGEOoS8WlKOQWbiAmyQLIPmtDgWHkCEY+/TQJL76IITkZZ2UlxQsWkHPeeTT/9ru/wxNCiCFvWCVH8+fPd7cl7+AxkO0qyt5Vd6RoNFiVAAAyin4kzjO1JnVHQ4b5uGNJ+eB9om+5BU1QEC1btpJzzjkU/+tuHNXV/g5PCCGGrGGVHA1W3i7ZfynKTg2MASC9cvtunbIlORpKFIOBiEsuJmXNGiynnQaqSs2KFWROS6PqtddQHdLbSgghfE2So0HA2yX7r8v5w9wrmdIbi4lJdk+r1ZY109wwcPeKEz2jj4lmxKOPkPjqcoz774+rtpbS+x8g++zZNP2lTYUQQojekeRoEIjoYFoNIDV2IgAZzgYCTHrC4kwAlMg+a0NW0MSJJL+zgpi7/4UmJITWP/4gd94FFN5yK/bSMn+HJ4QQQ4IkR4NAhMmzv1r75Gh0onvFWolWob6ukLiUtqJsqTsa0hSdjvC5cxm9dg2h55wDikLdRx+RlZZG5dKlqDYZORRCiN6Q5GgQ8NYc/WVazRKSQKzTXUyekfNVu35HYujThYURd9+9JK1YQeAhh+BqaqLs0cVknTGThg3f+Ds8IYQYtCQ5GgQ62nzWw6o1A5Be8rO3KLs0pw6nU3riDBeB4w4k8Y3XiXvoIbQREdiys8m/7DLyr7kGW0GBv8MTQohBR5KjQcBbkN1BcpRqcvdoyqhOJzQ6CKNJh9PuoiK/oV9jFP6laDSEnjmL0WvXEH7RRaDV0vD5F2RNn0H50//F1dLi7xCFEGLQkORoEPD0Oar4y7QagDX8AAAymktRNMquTWil7mhY0gYHE3PH7aS8v5KgI49EbW2l4plnyJo+g7rPPhvwPb2EEGIgkORoEIhsqzmqb3Fgc7SfLksdcSQA6WoLqsu1KznKluRoODOmpjJq2cuMePIJdLGx7g1tr72O/EsvozUry9/hCSHEgCbJ0SBgCdCja9tM9q91R8mjJqFRVWo0CpWVO4mTkSPRRlEULNOmMfrj1URceQWKXk/jt9+SdfoZlD76KM4G2YdPCCE6IsnRIKDRKISZ9txfDSAgMIxRLnfilJ73NdFJFhSNQkN1K/VVUmciQBMURPT115Oy6iPMU6aAw0HV0pfISkuj9qOPZKpNCCH+QpKjQaKzRpAAVr17tCij9Ff0Ri2RI90r2GRJv9idITGRhOefY+Tzz6EfNQpHeTlFt9xK7rwLaNmxw9/hCSHEgCHJ0SCxa3+1PYuyU80JAKTXZgLsqjuS5Eh0IHjKFFI++pCo669HCQykedMmss86m5L77sNZU+Pv8IQQwu8kORokvF2yOxo5ijwQgIyWSgBiR0unbLF3GqORyCuvYPTHq7GcmgYuF9Wvv0Fm2qlUv/02qtPp7xCFEMJvJDkaJHaNHHWQHI08BoAM7LicDu/IUUV+Aw6b/JATndPHxTHi8ccZtWwZButonNXVlNx9DznnzqF5yxZ/hyeEEH4hydEg4e2S3cHI0aiRx2BQVZo1CoVFPxEcHoApxIDLpVKWW9/foYpByHTUkaSsXEnMHbejMZtp+f13cs6dQ9GCBTgqK/0dnhBC9CtJjgaJXV2y96w50ukDSFG1AGQUfIuiKLLPmug2Ra8n/KKLGL3mY0JmzgSg9t33yJyWRtXyV1EdDv8GKIQQ/USSo0FiV5fsjndctxrCAcgo3wpATLIkR6JndFFRxD+8iMTXX8c49gBc9fWUPvgg2WeeRdNPP/k7PCGE6HOSHA0Sni7ZHW0+C2C1JAGQXpcL7LZiLbtO+tiIHgk67FCSV6wgduFCtCEhtP75J7kXXEjhzbdgLy31d3hCCNFnJDkaJHatVttzWg0gNfpgANLtNQBEJZjRaBWa62zUV0ozSNEzilZL2JxzSVm7htA554KiULdqFZlpp1L54ouoto6TdSGEGMwkORokwttGjhptTlrse65AS02YBECO4sTe2ojOsKsZZGl2Xf8FKoYkXVgYcQsXkvTOCgIPOQS1qYmyxY+RdcZMGr751t/hCSGET0lyNEgEG3UYtO4/ro6W88fGHorJpeJQFHIL3D+spBmk8LXAAw8k8Y3XiVu0CG1EBLbsbPIvvZSCa6/FVlDo7/CEEMInJDkaJBRF8RZldzS1pmg0WHG/nlH4PQAxKW3NIGXkSPiQotEQOmsmo9euIfyiC0Grpf6zz8maPp3yZ57B1SLTuEKIwU2So0Fkb40gAawBkQD8WbENgNhkTzPIehwdTMUJ0Rva4GBi7riD5JXvEXTEEaitrVQ8/V+yZpxG/ZdfykIAIcSgJcnRIOLtddTJcv7UUCsAGQ3u6Y3giAACLQZcTpXyvIb+CVIMOwH77ceoV5Yx4vHH0MXEYC8ooODqf5B/xRXYcnL8HZ4QQnSbJEeDSMReptUAUmMPAyDD4Z5GUxSF2GT31FppttQdib6jKAqWU09l9Meribj8ctDraVy/gazTTqfsscdxNTb6O0QhhOgySY4GEe8WIp1NqyVOAaBAo9LUVAFIUbboXxqTiegbbyDlww8w/e1vqHY7lS+8QOap06n7+GOZahNCDAqSHA0inmm1zrpkh4dbCXepqIpCVs5XAMR4R46kKFv0H2NyMgn/W8LIZ59BP3IkjtJSCm+8ibyL5tPy55/+Dk8IIfZKkqNBZNfIUcfTagCpmkAA0ovd2zxEJ1pQNAoN1a00VMsqItF/FEUh+PjjSVn1EZHXXoNiNNL0449kzzqT0kWLcNbLpshCiIFJkqNBZF+r1QBSA2MByKjaCYDeqCVihAmAkiwZPRL9TxMQQNQ//kHK6tUEn3QiOJ1UvfJ/ZE5Lo2bl+6gul79DFEKIdiQ5GkR29TnqPDmyhu0HQEZTsfeYZ0m/FGULfzKMHMHIp58m4YUXMCQl4ayspPiOO8idez7N27b5OzwhhPCS5GgQifQs5W9s7bSw1Rp3OADpzibvMU8zSKk7EgOB+W/HkfLhB0TffBNKUBDNmzeTc/ZsihcuxFFd7e/whBBCkqPBxDOt1mJ30WTruKmjNWkKAOVahZrqbGDXyFFZbj1Oh0xhCP9TDAYiLr2U0Ws+xjJjBqgqNW++Rda0NKrffBPVKU1LhRD+I8nRIBJk0BGgd/+Rdbac32SOZUTbz5WM3K8BCIkOxGjS4XS4qCiQZpBi4NDHxDBi8aOM+r9XMO63H87aWkoW3kv27Nk0/fqrv8MTQgxTkhwNMhEmz3L+zlesWXVmADJKNgGeZpDS70gMXKYjjiD5vXeJWbAATXAwrdt3kHveXIpuvwNHRYW/wxNCDDOSHA0y3hVreynKTjWNACC9Jt17LFbqjsQAp+h0hF8wj9Fr1xBy1pkA1L7/PpnT0qh65RVUu93PEQohhgtJjgaZfXXJBrBGjAUgo6XceyxGVqyJQUIXEUH8gw+S9NabBIwbh6uhgdJFD5N95pk0/rDR3+EJIYYBSY4GGW+X7L00grSOOBKAdLXV20MmJskCCtRVtNBU13liJcRAEXjIISS9/Rax992LNjSU1vQM8ubPp/DGG7GXlPg7PCHEECbJ0SDjHTnay7Ra8qhJaFWVeo1CWfnvABgCdYTHeZpByuiRGBwUjYawc85h9No1hM2dCxoNdR+vITPtVCqW/A+XTRJ9IYTvSXI0yHSlS7bBGEySy/1Hm962Yg0gVvZZE4OUNjSU2Lv/RfK77xB42GGozc2UP/EE2aedTsOGDf4OTwgxxEhyNMiEd2G1GoDVEApARtkW77GYFFmxJga3gAMOIPG1V4l/5N9ooyKx5eaSf9nl5F/9D2z5+f4OTwgxREhyNMh4Ro72VpANYA0eBUB6Xbb32K5mkHW4nNIMUgxOiqIQcvrpjF6zhvC//x10Ohq+/JKs6TMo/8/TuJqb/R2iEGKQk+RokIlsGzna21J+gNTIcQBktFZ6j4XFBmEI1OGwuagsauy7IIXoB1qzmZjbbiXl/ZUEHX0Uqs1GxbPPkjV9BnWffdbpFjtCCLEvkhwNMuHemqPO91cDSE04DoBMHDgd7kRK0SjEeOqOZGpNDBFGq5VRL73EiCefRBcXh72oiMJrryP/0stozcre9w2EEOIvJDkaZDyr1exOlfpWR6fnjYg/ggCXSqtGoaBwV28YT3JUIkXZYghRFAXLtFMYvXoVEVddiaLX0/jtt2SdcQaljz6Ks0FGSoUQXSfJ0SAToNdiMmiBvU+taXUGUtABkFHwrfe4bCMihjJNUBDR//wnKas+wjx5MtjtVC19iay0NGo/WiVTbUKILpHkaBDyNIKs2ksjSACrMQKA9Irfvcc8I0e1Zc20NMh2DGJoMiQmkrDkeUY+9yz6UaNwlJdTdMst5F1wIS07d/o7PCHEACfJ0SDkWbFWsY+i7P1CUgBIr8/1Hgsw6QmNCQKgRLYSEUNc8NSppHz0IVHX/xMlIICmn38me9aZlDzwIM46mVoWQnRMkqNByFN3tK8Va9boQwDIsLVPgqQZpBhONEYjkVdeyeiPVxN8yingclH96qtkTkuj5t13vVvsCCGEhyRHg1CEqYvTaqMmAZCrcWFrrfcel2aQYjjSx8cz8qknGfXSUgwpKTirqihecBc5c86j+bff/B2eEGIAkeRoEOrqtFp01DiCXSpORSE7b733eGxK28hRTh0ulxSoiuHFdMwxpLy/kuhbb0VjMtGydSs555xL8b/uxlFd7e/whBADgCRHg1C4qWtdshWNhlTFPcqUXvjDruvjTOiMWuwtTqqLZYmzGH4Ug4GIi/9OypqPCTnjdFBValasIHNaGlWvvYbq6LxNhhBi6JPkaBCKbFutVrmPaTWA1IBoADIqd3iPabQaYpKCAak7EsObPjqa+H//m8TXXsW4//64amspvf8Bss+eTdOmTf4OTwjhJ5IcDULhXSzIBrCGWgHIaCxsdzzG0+9IVqwJQdCECSS/s4KYu/+FxmKh9Y8/yD1/HoW33oq9rMzf4Qkh+pkkR4NQhHcLkS4kR7ETAMhwNLQ7HustypaRIyEAFJ2O8LlzGb12DaGzZ4OiUPfhR2SlnUrlSy+j2qUvmBDDhSRHg1CktwmkbZ8F1alJUwAo1EJjQ4n3eEySuyi7uriR1ib5T18ID114OHH330fS228RcPDBuBobKXvkEbJmzqLxu+/8HZ4Qoh9IcjQIhQW5R46cLpW6lr0nNiGhSUQ73QlURs467/EgiwFLZADgXrUmhGgv8KCDSHrzDeIefABteDi2zEzyLr6Egn9ej72oyN/hCSH6UI+TI7vdTn5+Pjt37qSqqsqXMYl9MOg0WALc+6btazk/gFXr7oidUfxTu+OeqTUpyhaiY4pGQ+hZZzF67RrCLrgANBrqP/mEzFOnU/H887ha970oQggx+HQrOWpoaGDJkiVMmTKFkJAQkpKSGDt2LFFRUSQmJnLZZZfx008/7ftGotc8+6tVNuz7P2drUBwAGdV/tjvuLcqWuiMh9kprsRC74E6SV75H0MSJqC0tlD/5FFmnnU79unX+Dk8I4WNdTo6eeOIJkpKSeOGFFzj++ON577332Lx5Mzt37uT777/nnnvuweFwcNJJJzFt2jTS09P7Mu5hL6KLvY4AUsP3ByC9uaTdcW8zyOxaVGkGKcQ+BYwZw6jl/0f84sXooqOx5+VRcOVV5F9xJbbc3H3fQAgxKOi6euJ3333HV199xUEHHdTh60cccQQXX3wxzz//PEuXLuXrr78mNTXVZ4GK9rxdsruSHMUfAQUfk+5qbn+PkWa0eg2tTQ5qypoIizX1SaxCDCWKohAyYzrmKVOofP45Kl/5Pxq+/prG774j/JKLibz8cjRBQf4OUwjRC10eOVqxYkWnidHujEYjV199NZdeemmvAhN7F27q+rRacuJkFFWlSqNQWbFrak2r1RCdKM0ghegJrdlE9M03k/LB+5iOOQbVbqfy+SVkTp9B3dpPUFUZjRVisJLVaoNUpLnr02pBQZGMdCkAZOavb/farrojaQYpRE8YU1JIWPoiI57+D/r4eBzFxRRefz15F19Ma0aGv8MTQvTAsE2OWltbGT9+PIqisHnzZn+H023d6ZINkKp31xell7TfEsFTd1QiI0dC9JiiKFhOOomU1auI/Mc/UAwGmr7/gayZsyj99yM4Gxr2fRMhxIAxbJOjW2+9lfj4eH+H0WMR3dhfDcBqHglAek1mu+OxbSNHVYUN2Fpks00hekMTGEjUtdeQsnoV5uOPB4eDqpdfJjMtjdoPPpCpNiEGCZ8kR/PmzaOuzj3y8PHHH7Ny5Upf3LbPrFmzhk8//ZTFixf7O5Qei+zuyFHEWAAyWiraHTeFGjGHGVFVKJNmkEL4hCEhgYRnnyHhf0swJCbiLK+g6LbbyT1/Hi07duz7BkIIv/JJcrR161YsFgvbt2/n5ptvZu3atVx//fW+uLXPlZaWctlll7F8+XKCuriipLW1lbq6unYPfwvvxv5qANYRRwOQgQ3V5Wr3mrcZpCRHQviUedIkkj/6kKgbb0QJDKT5l1/IPutsSu67D2dNjb/DE0J0wifJkV6vR1VVli1bxoIFC1iyZAkbNmzwxa19SlVV5s+fz5VXXsnEiRO7fN2iRYsICQnxPhISEvowyq6JaFutVt1kw9mFHkWJo45Dp6o0ahSKS35p91pMclvdkTSDFMLnNAYDkZdfxuiPV2M5NQ1cLqpff4PMaWlUv/02qtPp7xCFEH/hk+Tooosu4vDDD+edd95h5syZADQ2Nvri1l2ycOFCFEXZ6+Pnn3/m6aefpq6ujjvuuKNb97/jjjuora31PvLz8/voK+m6sCA9igKq6k6Q9kWvDyJZ1QKQkd8+cd21jUit1EQI0Uf0cXGMePxxRi1bhjHVirOmhpK77yHn3Dk0b9ni7/CEELvpchPIvXnllVf44osv0Ol0mEwmMjIyGD9+vC9u3SXXXHMNc+bM2es5SUlJPPDAA/zwww8YjcZ2r02cOJHzzz+fV155pcNrjUbjHtf4m06rITRQT3WTnapGG5Hmfcdn1YeS7qwivWwrk3Y7HplgRqNVaK63U1/ZgiUysO8CF2KYMx11JMnvvUf1669T/vR/afn9d3LOnUPIWWcSfeON6CIi/B2iEMNer5KjVatW8ccff9DY2EhTU5N39ZfVamVHPxYdRkZGEhkZuc/z/vOf//DAAw94nxcVFXHKKafw1ltvceSRR/ZliH0iwmykuslORUMr+8UE7/P8VEsia6qryKjLaXdcp9cSmRBMWU4dJdm1khwJ0ccUvZ7wiy7CMn06ZY89Tu3KldS++x71n35G1LXXEjb3PBSdT353FUL0QK+m1Q488ECCgoIoKyvjvPPOIyUlhUmTJjFnzhy0Wq2vYvSZUaNGMW7cOO9jv/32A2D06NGMHDnSz9F1X7d7HUUfAkC6rWqP12Lb6o5Kpe5IiH6ji4wkftFDJL7xOgFjx+Kqr6f0oYfIPvMsGn/80d/hCTFsdetXk4aGBsxms/d5cnIyV199NePGjWPSJPdETWFhIdnZ2YwbN863kYo9dKdLNoB15LGwcxlZihOHvQWdPsD7WkyKBb6SZpBC+EPQoYeStOJtala8Q/kTT9D655/kXegeWYq+9Rb0MTH+DlGIYaVbI0dhYWFUVFTscdyTGAGMGDGC4447jtDQ0F4H19eSkpJQVbVf66N8KaIb+6sBxMdNJNClYlcU8gq+a/eapxlkRX49DrusnhGivylaLWFzziVl7RpC55wLikLd6tVkpp1K5Ysvotq69kuQEKL3upUcOZ1OXLv1yDn22GMpLS31eVCia7zTal0cOdJodVjRA5Dxl+QoOCKAwGA9LqdKRb5sdSCEv+jCwohbuJCkd1YQOH48alMTZYsfI+v0M2j45lt/hyfEsNCrmqOtW7f265J90Z5nWq2rNUcAqQHuwvX0im3tjiuKIpvQCjGABB54IImvv0bcokVoIyKw5eSQf+mlFFx7LbaCQn+HJ8SQNmz3VhsKwk3d218NwBqSAkBGw569mjyb0JZK3ZEQA4Ki0RA6ayaj164h/KKLQKul/rPPyZo+nfJnnsHV0uLvEIUYkrqdHL3++uv88ssv2O12wD3iIPwjoptbiABYYw4FIMO+5+iQd+QoW0aOhBhItMHBxNxxOynvryToyCNRW1upePq/ZM04jfovv5TmrUL4WLeSo+OOO4577rmHiRMnYjabaWpqYsGCBTz33HNs3LiRFvktpl/1aFpt1GQA8jQqLc3V7V6LTgxGUaChqpXGmq6PRgkh+ocxNZVRy15mxBOPo4uJwV5QQMHV/yD/8itozc72d3hCDBndSo7Wr19PbW0tO3fu5JVXXuGmm26itLSUBQsWcPTRR2OxWDj44IP7KlbxF55ptdpmO3anax9nu0VEjCHMpeJSFLJyv273miFAR3i8u1WDTK0JMTApioIlLY3RH68m4vLLQa+nccMGsk4/g7LHHscldaBC9FqPao5SU1OZM2cOjzzyCF988QVVVVVkZmby2muvMWPGDF/HKDoRGqhH0zarWd3FqTVFo8GquPsbZRTt2WQupq3uSKbWhBjYNCYT0TfeQMqHH2D629/AbqfyhRfIPHU6dR9/LFNtQvSCzwqyk5OTmT17Ng899JCvbin2QaNRvMv5K7oxtWYNdDeUy6jac4sXb6dsGTkSYlAwJieT8L8ljHz2GfQjR+IoLaXwxpvIu2g+LX/+6e/whBiUepQcff75552+tmTJkh4HI7rP0wiyq12yAaxhqQCkNxbv8ZqnKLsspw5XF6fqhBD+pSgKwccfT8qqj4i87loUo5GmH38ke9aZlC5ahLO+3t8hCjGo9Cg5mj59OjfddBO23Tq2lpeXc9ppp3HHHXf4LDixb7tWrHW9gHq/uMMBSHfu2ewxLCYIQ6AOh91FZaHULggxmGgCAoi6+mpSVq8m+KQTwemk6pX/I3NaGjXvrUR1yS88QnRFj5Kj9evX89FHH3H44Yezbds2Vq9ezbhx42hoaGDLli2+jlHsRU+m1UYnTgGgVKtQV9u+35GiUYjxTq1J3ZEQg5Fh5AhGPv00CS++iCE5GWdlJcV33knu3PNp3rZt3zcQYpjrUXJ05JFH8uuvv3LwwQczYcIEZs2axU033cSXX35JQkKCr2MUexFp9kyrdX3kKNgyglinu1gz8y8r1gBvciSb0AoxuJmPO5aUD94n+pabUYKCaN68mZyzZ1N8z0Ic1dX7voEQw1SPC7J37tzJTz/9xMiRI9HpdPzxxx80NTX5MjbRBd791boxcgRg1bqX7KeX/LzHa55NaKUoW4jBTzEYiLjkEkav+RjLjBmgqtS89RZZ09KofvNNVKdsNC3EX/UoOXr44Yc5+uijOemkk/j999/56aefvCNJ33//va9jFHvRky7ZAKnmeADSq/dczRKT5B45qiltoqXB3ssIhRADgT4mhhGLHyVx+f9h3G8/nLW1lCy8l+zZs2n65Vd/hyfEgNKj5Oipp57i/fff5+mnnyYgIIADDzyQH3/8kTPPPJMpU6b4OESxN57VapUN3etonRp+AAAZzWV7vBZg1hMaEwRAaY6MHgkxlAQdfjjJ771LzIIFaIKDad2+g9y5cym6/Q4c5eX+Dk+IAaFHydFvv/1GWlpau2N6vZ5HH32UTz/91CeBia7p6ciRNf4IADLUlg5XsOyqO5KibCGGGkWnI/yCeYxeu4aQs88CoPb998lMO5WqV15BtcuIsRjedD25KDIyEoDt27eTl5fXbkm/6F8RbTVHVd2sOUoeNQnN9yo1GoXKyp1ERh3Q7vXYZAs7fyiRuiMhhjBdRATxDzxA2OzZlNz/AC2//07pooepeecdYhbchemoI/0dohB+0aPkKCsri1mzZvHbb7+hKIq3Tb2iuPeycEqBX7+JaFutVt/qoNXhxKjTdum6gMAwRrk05GhV/sz9ao/kKGa3omzVpaJ49ikRQgw5gYccQtLbb1Hz7ruUP/Y4rekZ5M2fT3DaNGJuvRV9XJy/QxSiX/VoWu2f//wnycnJlJaWEhQUxLZt21i/fj0TJ05k3bp1Pg5R7I0lQIde605cutMlGyBV7546yyjbvMdrESNM6PQabM0OqktlFaIQQ52i0RA2ezaj164hbO5c0GioX7OWzFOnU7Hkf7hkhkAMIz1Kjr7//nvuu+8+oqKi0Gg0aDQajjvuOBYtWsR1113n6xjFXiiK0vPl/GZ3T6qM2qw9XtNoNUQnSTNIIYYbbWgosXf/i+R33yHwsMNQm5spf+IJsk47jYb16/0dnhD9okfJkdPpxGx298mJjIykqKgIgMTERHbu3Ok9b968edTVuWtWPv74Y1auXNnbeEUHwttWrFV0c8WaNfJAADJaKjt8XZpBCjF8BRxwAImvvUr8I/9GGxWJPTeP/MuvIP/qf2DLz9/3DYQYxHqUHI0bN46tW7cC7m7ZjzzyCN9++y333XcfKSkp3vO2bt2KxWJh+/bt3Hzzzaxdu5brr7/eJ4GLXSLbVqx1e1ot4TgAMrDjcjr2eN3bDDJLkiMhhiNFUQg5/XRGr1lD+N//DjodDV9+Sdb0GZT/52lczc3+DlGIPtGj5Oiuu+7C1bb8+4EHHiA3N5e//e1vfPzxx/znP//xnqfX61FVlWXLlrFgwQKWLFnChg0bfBO58Iro4bRawoijMKgqzRqFwqKf9njdM3JUVdSArWXP5EkIMTxozWZibruVlPdXEnT0Uag2GxXPPkvW9BnUffaZd1GOEENFj5KjU045hTPPPBOAlJQUtm/fTkVFBWVlZRx//PHe86644goOP/xw3nnnHWbOnAlAY6Ps9O5rnmm17vY60ukDSFHdq9syCr7d43VTqBFzuBFVhbLc+t4HKoQY1IxWK6NeeokRTz2FLi4Oe1ERhddeR/4ll9KatWftohCDVY/3Vvur8PBw71J+j8svv5zPP/+crVu3YjKZyMjI4MgjpW+Gr3kbQXaz5gjAaggHIKN8a4ev79pnTYqyhRDuqTbLKSczevUqIq66EkWvp/G778g6/QxKH30UZ4P8AiwGvx71OQJoaWlh69atlJWVeafYPE4//XTv56Ghod7PrVYrr7zySk/fUnTCO63WzZEjgFRLMlRVkF6X2+HrMckWMjaVUSJ1R0KI3WiCgoj+5z8JnTmT0kUP07BuHVVLX6Luw4+IvvVWLDOm7/ELsxCDRY+So7Vr13LhhRdSUVGxx2uKokgTyH7maQTZk+TIGn0IVP1Eur2mw9djU3aNHKmqKv/ZCSHaMSQmkvD8c9R/9RWlix7GnpdH0S23UP3Wm8T+618EjBnj7xCF6LYeTatdc801zJ49m+LiYlwuV7uHJEb9rzfTap4VazmKE3vrnsPhkQlmNFqF5no79ZUtvQtUCDFkBU+dSspHHxJ1/fUoAQE0/7yJ7FlnUvLAgzhrZVpeDC49So7Kysq48cYbiYmJ8XU8oge8+6v1YOQoNvZQzC4Vh6KQ20FRtk6vJTIhGJBNaIUQe6cxGom88gpGf7ya4FNOAZeL6ldfJXNaGjXvvNPhJtdCDEQ9So7OPvts2SZkAPFMqzXZnDTZurfkXtFosCru5Cq94LsOz4ltW9Iv/Y6EEF2hj49n5FNPMurllzCMHo2zupriu/5FzpzzaP7tN3+HJ8Q+9ajm6L///S+zZ89mw4YNHHTQQej1+navyxYi/ctk0GLQabA5XFQ22AgK794fqzUgis2tRaRXbietg9djUizwlXTKFkJ0j+noo0l5fyVVr75GxX//S8vWreSccy6hZ59F1A03oAsP93eIQnSoR8nR66+/zieffEJgYCDr1q1rV6SrKIokR/1MURQiTQaKaluoarSREB7UreutIaOhrIiMhsIOX/cs56/Ir8dhd6LTa3sdsxBieFD0eiL+Ph/L9FMpf+wxaj/4kJoV71D3yadE/fM6ws49F0XX44XTQvSJHnfIvu+++6itrSUnJ4fs7GzvI0sagfnFrhVrPSjKjj0MgHRHxyNDwREBBAbrcTlVKvIbeh6kEGLY0kdHE//vf5P42qsY998fV10dpfc/QPbZs2natMnf4QnRTo+SI5vNxrnnnotG47MekqKXwtuKsiu6uYUIgDVxCgAFWmhq6rg9Q0zb6FFJlhRlCyF6LmjCBJLffYeYu/+FJiSE1j/+IPf8eRTeeiv2sjJ/hycE0MPk6KKLLuKtt97ydSyiFyJ6uPksQHi4lQine2+krJyvOjwnNqWtKFvqjoQQvaRotYTPncvotWsIPeccUBTqPvyIrGlpVL70Mqrd7u8QxTDXo4lep9PJI488wieffMLBBx+8R0H2448/7pPgRNft2ny2+9NqAFZtIJW0kF78E+PGzt7jde/IkSznF0L4iC4sjLj77iV09mxKHrifli1bKXvkEWrefZfYBXdiOuYYf4cohqkeJUe//fYbhx56KAC///57u9ekg7J/9KZLNkBqYCwbm3NIr9rZ4evRicEoCjRUtdJY04op1NjjWIUQYneBB40j6Y03qF35PmWPPYYtM5O8iy8h+OSTibn9NvTx8f4OUQwzPUqOvvqq46kX4T+7Ro56mByFj4HCHDKaijt83RCgIzzeTGVhA6XZdaQcGtXjWIUQ4q8UjYbQs84k+KQTKX/6v1S/9hr1n35Kw/r1RF5xOeEXX4zGKL+Uif7R5ZqjvLy8bt24sLDjZeGib3i3EOnBajUAa9zhAGQ4mzo9J6at7kim1oQQfUVrsRC74E6SV75H0MSJqC0tlD/1H7JmnEa9/GIu+kmXk6PDDz+cyy67jB9//LHTc2pra3nhhRcYN24c7733nk8CFF0TYXL/RlXVw5Gj0YmTASjXKtRUZ3d4jrdTthRlCyH6WMCYMYxa/n/EL16MLjoae34+BVddTf4VV2LLzfV3eGKI6/K02o4dO3jooYeYNm0aer2eiRMnEh8fT0BAANXV1Wzfvp1t27YxceJEHn30UdLSOuq1LPqKZ+SootGGqqrdrv0ymWMZ4YRCLaTnfsXhYcl7nOMpyi7LqcPldKHRSisHIUTfURSFkBnTMU+ZQuXzz1H5yv/R8PXXNH73HeGXXEzk5ZejCepe01shuqLLP93Cw8NZvHgxRUVFPPfcc+y3335UVFSQnp4OwPnnn8+mTZv49ttvJTHyA8/Ikc3hotHm7NE9UnXuDWYzSn7p8PWwmCAMgTocdheVhY09C1QIIbpJazYRffPNpHzwPqZjj0W126l8fgmZ02dQt/YTVFX1d4hiiOl2QXZAQABnnnkmZ555Zl/EI3oo0KAlyKClyeaksqEVs7H7tfZWUzzrGnaSUZPR4euKRiEm2UL+9ipKs2uJGhXc27CFEKLLjCkpJLz4Ag1ffEHpQ4uwFxVReP31BB19FLELFmC0Wv0dohgiZF5kCOlNl2wAa8RYADJayjs9JybZU5QtdUdCiP6nKArBJ55IyupVRP7jHygGA03f/0DWzFmUPvxvnA2yxZHoPUmOhhBPr6OedMkGsI44EoB0tRXV5erwHM8mtFKULYTwJ01gIFHXXkPK6lWYTzgBHA6qli0jMy2N2g8+kKk20SuSHA0hkb3skp0yago6VaVeo1BatrXDc2KS3CNHNaVNtDRIi38hhH8ZEhJIeOa/JPxvCYbERJzlFRTddju558+jZccOf4cnBqkeNYHcXU1NDZ988gmFhYUoikJcXBynnHIKYWFhvohPdINnWq2nXbL1RhOJLg2ZWpWMvA3Exo7f45wAs57QmCBqSpsozakjcVxEb0IWQgifME+aRNBRR1G17BUqnnuO5l9+Ifusswmbcy5R112HNjTU3yGKQaRXI0dLly7liCOO4IcffsDlcuF0Ovnhhx846qijWLp0qa9iFF3k3UKkhzVHAFZDKAAZZVs6PWdX3ZE0gxRCDBwag4HIyy9j9JqPsZyaBi4X1a+/Qea0NKrfehvV2bOVvGL46dXI0SOPPMIvv/yC2Wxud/z+++9nwoQJXHLJJb0KTnSPdwuRHnbJBrAGj+KTmmrS67I6PSc22cLOH0qk7kgIMSDpY2MZ8fjjhJ5zLqUPPkBregYl99xDzYoVxP7rLgIPOcTfIYoBrlcjR4qi0NDByoCGhgbZgNYPPI0ge1qQDZAadRAA6a1VnZ4Ts1tRtuqSokchxMBkOupIkt97j5g770BjNtPy++/knDuHojsX4Kis9Hd4YgDr1cjR4sWLmTx5MuPGjWPEiBEAFBQUsG3bNh577DGfBCi6zjOt1tOl/ACpI4+F9FfJwoHTYUOrM+z5PiNM6PQabM0OqkubCI8z9fj9hBCiLyl6PeEXXojl1FMpe+xxaleupPa996j/7DOirr2WsLnnoeh6XX4rhphe/Y2YMWMGaWlp/PjjjxQVFaGqKiNGjOCII45Aq9X6KkbRRRG9XK0GMCL+CAJcKi0ahYLCjSQm/m2PczRaDdFJForSayjNrpXkSAgx4OkiI4lf9BCh58ym9P4HaNm+ndKHHqLmnXeIuWsBpiOO8HeIYgDp9VJ+rVbL0UcfzVlnncXZZ5/N0UcfjVarZdOmTb6IT3TD7tNqPe3xodUZSGnLmdPzv+n0PGkGKYQYjIIOPZSkFW8Tu3Ah2pAQWv/8k7wLL6Lwppuxl5b6OzwxQPRZn6NZs2b11a1FJzxL+R0ulbpmR4/vk2qMBCC94vdOz/E2g8yS5EgIMbgoWi1hc84lZe0aQs+bA4pC3erVZKadSuWLL6Lael6aIIaGXk2rnXPOOR0eV1WVqqrOC3pF3zDqtAQbddS3OqhsbCUkSN+j+6SGJENFKRkNeZ2eE5PiHjmqKmrA1uLAECBz9kKIwUUXFkbcPfcQevbZlN7/AM2bN1O2+DFq3nmXmAULMP/tOH+HKPykVz/RPv/8c5YvX77HUn5VVVm/fn2vAhM9E2E2tCVHNlKienYPa/QhUPEDGbbO+xiZQowEhwdQX9VCWW49I8dI008hxOAUeOCBJL7+GrUffkjZ4sew5eSQf9llmE88gZjb78AwcoS/QxT9rFfJ0ZQpUzCbzUyePHmP1w499NDe3Fr0ULjJQE5lU6+Ksq2jJsH2JeRqXNha6zEYgzs8LybFQn1VC6XZtZIcCSEGNUWjIXTmTIJPOIGK/z5D1auv0vD5FzRu+IaIyy4j4tJL0AQE+DtM0U96VXP03nvvdZgYAaxdu7Y3txY95O2S3YteR9FR47C4VJyKQnbu152e56k7KpG6IyHEEKENDibmjttJeX8lQUceidraSsV//0vW9BnUf/GFbGg7TMjGs0PMruX8PU+OFI0Gq+JOstKLNnZ6nmfFWml2rfyHIYQYUoypqYxa9jIjnngcXWws9sJCCv5xDfmXX0Frdra/wxN9rEfTajfeeGOHxxVFISAgAKvVyhlnnEF4eHivghPd54su2QCpAdH80lpARmXnu1pHJQSj0Sk019upq2ghJCqwV+8phBADiaIoWNLSME+aRMWS/1H58ss0bthA1uk/EDF/PpFXXoHGJH3ehqIeJUe//vorv/zyC06nkzFjxqCqKunp6Wi1Wvbff3+effZZbrrpJr755hvGjh3r65jFXkSYPF2ye15zBGANtUJpAemNhZ2eo9VriEoIpjS7jtLsWkmOhBBDksZkIvrGGwiZNZPSRYtoXL+ByhdeoPbDD4m57VaC09Jky6whpkfTameccQYnnngiRUVFbNq0iV9++YXCwkJOOukkzjvvPAoLC5k0aRI33HCDr+MV++AZOerNtBpAatxEADIce+6dtztpBimEGC6MyckkLFnCyGefRT9yJI7SUgpvvIm8i+bT8uef/g5P+FCPkqNHH32U+++/H4vF4j1msVhYuHAhjzzyCEFBQdx9993SJdsPPCNHvZ1Wsya6C+2LtNBQX9zpebuaQXa+7F8IIYYKRVEIPn4qKas+IvK6a1GMRpp+/JHsWWdS8tBDOOvkF8WhoEfJUW1tLWVlZXscLy8vp67tL0ZoaCi2AdpldPXq1Rx55JEEBgYSGRnJmWee6e+QfMY7ctTYu2m1kNAkop3uIuvMvaxY84wcVeQ34LA5e/WeQggxWGgCAoi6+mpSVq8m+KSTwOmk+v+Wk5l2KjXvrUR1ufwdouiFHk+rXXzxxaxcuZKCggIKCwtZuXIll1xyCTNnzgTgxx9/ZL/99vNlrD7x7rvvcsEFF/D3v/+dLVu28O233zJ37lx/h+UzntVqVY02XK7erSCzaoMASC/+sdNzgiMCCLQYcLlUyvP3PgUnhBBDjWHkCEY+/R8SXnwRQ3IyzspKiu+8k9zz5tL8+zZ/hyd6qEfJ0ZIlSzjhhBOYM2cOiYmJjBo1ijlz5nDCCSfw/PPPA7D//vvz4osv+jTY3nI4HPzzn//k0Ucf5corr2S//fZjzJgxnH322f4OzWfC2pIjlwo1zfZe3Ss1KB6AjOr0Ts9RFIXY3Zb0CyHEcGQ+7lhSPnif6FtuRhMURPOWLeTMnk3xPQtxVFf7OzzRTT1KjsxmMy+88AKVlZXelWuVlZX873//w9S2rHH8+PGMHz/el7H2mqdwXKPRcOihhxIXF0daWhrbtu09u29tbaWurq7dY6DSazWEBLr3VOtNl2wAa/gYADKaS/Z6nrcoW5pBCiGGMcVgIOKSS0hZ8zGWGTNAVal56y2ypqVR/eabqE4pPRgsetUE0mw2c/DBB3PIIYfssb/aQJSVlQXAwoULueuuu1i1ahVhYWFMnjx5rxvlLlq0iJCQEO8jISGhv0LukV11R71csRZ/BADprua9nuctypaRIyGEQB8Tw4jFj5K4/P8wjhmDs7aWkoX3kj17Nk2//Orv8EQX9Dg5qqmp4bHHHuPSSy/lsssu4/HHH6e21j8/HBcuXIiiKHt9/Pzzz7jaCuQWLFjAWWedxYQJE3j55ZdRFIUVK1Z0ev877riD2tpa7yM/P7+/vrQeiWxbsdbb5fwpiVNRVJUqjUJlRefLVKMSg1EUaKhupaG6d6NVQggxVAQdfjjJ775DzF13oQkOpnX7DnLnzqXotttxlJf7OzyxFz1Kjn7++WdGjx7NE088QVVVFRUVFTzxxBOMHj2aX375xdcx7tM111zDjh079voYN24ccXFxAO0aUxqNRlJSUsjLy+v0/kajEYvF0u4xkIV7i7J7l6gEBoWT4HI3NsvIW9fpeYYAHeEj3COHpTkyeiSEEB6KTkf4vPMZvXYNIWefBUDtBx+QOS2NymXLUO29qw0VfaNHHbJvuOEGTj/9dF544QV0OvctHA4Hl156Kddffz3r16/3aZD7EhkZSWRk5D7PmzBhAkajkZ07d3LccccBYLfbycnJITExsa/D7DeeabWKXo4cAVj1FvJcdWSU/sqRezkvNtlCZUEDpVl1jD40utfvK4QQQ4kuIoL4Bx4g7JxzKLnvflp+/52yh/9NzTvvEHvXXZiOOsrfIYrd9Hjk6LbbbvMmRgA6nY5bb72Vn3/+2WfB+ZrFYuHKK6/knnvu4dNPP2Xnzp1cddVVAMyePdvP0fmOd/PZXo4cAVjNIwFIr8nc63kxbXVHJVJ3JIQQnQo8+GCS3n6L2PvvQxsaii0jk7z5f6fghhuwF3fecFf0rx4lRxaLpcNpqPz8fIKDg3sdVF969NFHmTNnDhdccAGHH344ubm5fPnll4SFhfk7NJ+JMPumSzZAaoR7CjK9pWKv58WmuKcay3PrcTql+ZkQQnRG0WgImz2b0WvXEDZ3Lmg01K9ZS+ap06lY8j9cA7SB8nDSo+To3HPP5ZJLLuGtt94iPz+fgoIC3nzzTS699FLOO+88X8foU3q9nsWLF1NaWkpdXR2fffYZBx54oL/D8ilfTquljjgGgAxse+34GhodhDFIh8PuoqqwsdfvK4QQQ502NJTYu/9F8nvvEjhhAmpzM+VPPEHWaafR8HXnOxOIvtejmqPFixejKAoXXnghDocDVVUxGAxcddVVPPzww76OUXSTpyC7t32OAEaNOhadqtKkUSgu+YX4+IkdnqdoFGKSLORtr6Ikq5aoUQN7BFEIIQaKgP33J/HV5dR99BGljz6KPTeP/CuuxDx1KjF33oFhgLePGYp6NHJkMBh46qmnqK6uZvPmzWzevJmqqiqeeOIJjEajr2MU3RTpw2k1vT6IZFULQEb+hr2eG+PtlC3NIIUQojsURSHk9NMZvWYN4RdfDDodDV99Rdb0GZT/5z+4mvfeb074VpdHjm688cYu3/Txxx/vUTDCNzwjR9VNdhxOFzptr3p9YtWHku6s4s+yLUzay3kxKVKULYQQvaE1m4m59RZCzzqT0gcfpPG776l49jlq3n+fmNtvJ/ikk1AUxd9hDnldTo5+/bVrXT3lD83/woIMKAqoqjtBigru3WjefpYk1lRXkVGXu9fzYpLcI0e1Zc20NNgJMOt79b5icHC5XNikgHRA0+v1aLVaf4chusE4ejQJS5dS/+lnlD78MI6iYgqv+yemY44h5q4FGFNS/B3ikNbl5Oirr77qyziED2k1CuFBBiobbVQ2tvY6ObJGHwzVv5Bh63yLFYAAk57QmCBqSpsoya4l6aB9954Sg5vNZiM7O9vbfV4MXKGhocTGxsovsIOIoihYTjkZ86S/UfG//1H14lIav/uOrNPPIPyiC4m86mq0ZpO/wxySelSQLQa+cFNbcuSLRpAjj4Wdy8hSnDjsLej0AZ2eG5tsoaa0idLsOkmOhjhVVSkuLkar1ZKQkIBG07vpW9E3VFWlqamJsrIyAO9OAWLw0AQGEv3PfxI6cyalix6mYd06qpa+RN2HHxF9661YZkyXpNfHJDkaoiLMBtLLer/5LEB83EQCXSrNGoW8gm9JST6h03NjUkL444cS2YR2GHA4HDQ1NREfH09QUJC/wxF7ERgYCEBZWRnR0dEyxTZIGRITSXj+OerXraP0oUXY8/IouuUWqt96k9h//YuAMWP8HeKQIb/qDVER3s1ne7+cX6PVkYq7fii94Lu9nrv7ijXVpfb6vcXA5XQ6AffqVTHweRJYu+zlNegFT5lCykcfEnX99SgBATT/vInsWWdScv8DOP20AfxQI8nREOVpBOmL5fwA1gD3FFlGxfa9v2+8CZ1Bg63FSXVJk0/eWwxsMpw/OMif09CiMRqJvPIKRn+8muBp08Dlovq118iclkbNO+/stWmv2DdJjoYoz8iRL7pkA1hD3CsjMhry93qeRqshOtE9eiRL+oUQom/p4+MZ+eQTjHr5JQyjR+Osrqb4rn+Rc+4cmn/7zd/hDVqSHA1R4WbfdckGsMYcCkC6fd8Jj2efNWkGKYQQ/cN09NGkvL+S6NtuQ2My0fLbb+Sccy7F//oXjqq9rzQWe5LkaIiKNPl2Wi01cQoAeRqVlubqvZ4bk+xuBilF2WIgmj9/PoqieB8RERFMmzaNrVu3ApCTk4OiKGzevHmPa2fOnMn8+fP7N2AhukjR64n4+3xS1nxMyBmng6pSs+IdMqelUfXaa6gOh79DHDQkORqiItq2EPHFajWAiPD9CHOpqIpCVu7eN0T0FGVXFjVia5F/jGLgmTZtGsXFxRQXF/PFF1+g0+mYMWOGv8MSwif00dHE//vfJL7+GsYDDsBVV0fp/Q+QffZsmjZt8nd4g4IkR0OULzefBVA0GqyKu79RRtGPez3XFGIkODwAVCjLkak1MfAYjUZiY2OJjY1l/Pjx3HbbbeTn51NeXu7v0ITwmaDDDiP5nRXE3nM3mpAQWv/4g9zz51F4y63YS8v8Hd6AJsnREBXZVnNU1+LA5vDNqoXUoFgA0qt27PPcmBRPUbYkR8OFqqo02Rx+eahqz9tGNDQ08Nprr2G1WomIiPDhd0QI/1O0WsLOO4/Ra9cQes45oCjUffQRWWlpVC59CVW2/umQNIEcoiwBerQaBadLparRRmxI512tu8oamgrNuaQ3Fu3z3NjkEDJ+LpOi7GGk2e5k7N2f+OW9t993CkGGrv93tmrVKsxmMwCNjY3ExcWxatUq6fIthixdWBhx991L6OzZlDxwPy1btlL26KPUvPsuMQvuxHzssf4OcUCR/wmGKI1G2TW11uibqbXUuIkAZDgb93nurmaQtb36rV6IvjB16lQ2b97M5s2b2bhxIyeffDJpaWnk5u59c2UhBrvAg8aR9MYbxD34INrwcGxZWeRfcikF1/0Te2Ghv8MbMGTkaAiLMBkor2/1yf5qAKMTp8AvD1OqVairzccSktDpuVEJwWh0Cs31duoqWgiJCvRJDGLgCtRr2X7fKX577+4wmUxYrVbv8wkTJhASEsILL7zATTfdBEBtB52Ga2pqSExM7F2wQviZotEQetaZBJ90IuVP/5fq11+n/tNPaVi/nsgrLif84ovRGHu3YflgJyNHQ5inS7avRo6CLSOIc7pHgTJyvtrruVq9hqiEYECW9A8XiqIQZND55dHb7s+KoqDRaGhubiYsLIyoqCh++umnduc0Nzezbds2xsj+VWKI0FosxC64k+T33iVo4kTUlhbKn/oPWTNOo/6rvf8fP9RJcjSE7dpfzXcFd1adu04jo2Tfy0E9U2tSlC0GmtbWVkpKSigpKWHHjh1ce+21NDQ0cNpppwFw880389BDD7F8+XIyMzP5+eefufDCC9HpdMybN8/P0QvhWwFjxjBq+f8Rv3gxuuho7Pn5FFx1NflXXIltmE41y7TaELar5siHyZEpng0N6aTXpO/z3NjkELZSQGmWjByJgWXt2rXExcUBEBwczP7778+KFSuYMmUK4E6OzGYzixcvJjMzk9DQUI466ig2bNiAxWLxY+RC9A1FUQiZMZ3gqVOoeP55Kpe9QsPXX9P43XeEX3wxkVdcjqZt8+LhQEaOhjDPcv4qH44cpYYfAEBG8757ZHhGjiryG3DYnD6LQYjeWLZsGaqqeh91dXX8+OOPnHXWWd5zNBoNV199NVu2bKGhoYGCggLeeeeddnVKQgxFGpOJ6JtuIuWDDzAdeyyq3U7lkiVknjqdurVrh80CG0mOhrBdXbJ9U3MEkBp/JADpass+d30Ojggg0GLA5VIpz2/wWQxCCCH6ljElmYQXX2Dkf59GHx+Po6SEwutvIO/vF9OakeHv8PqcJEdDmGdarcKHI0fJiZPRqCq1GoWKir03g1QUhdjdlvQLIYQYPBRFIfjEE0n5eDWR//gHisFA0w8/kDVzFqUP/xtnw9D9pVeSoyHMO63mw5ojY0AIo1zuvzbpeXvfYw12K8rOkqJsIYQYjDQBAURdew0pq1dhPuEEcDioWraMzGlp1H7wwZCcapPkaAgL965W8920GkCq3p3wZJRt3ue5sckhgIwcCSHEYGdISCDhmf+S8ML/MCQm4qyooOi228k9fx4t27f7OzyfkuRoCPP0OWq0OWmx+64gOjV4FADpNVn7PDcqMRhFgYbqVhqqfZukCSGE6H/mv/2N5I8+JOqmG1GCgmj+5Reyz55N8b334qyp8Xd4PiHJ0RAWbNRh0Lr/iH26nD9yHAAZrZX7PNcQoCN8hLs3UmmOjB4JIcRQoDEYiLzsMkZ/vBrLqaeCy0XNG2+SOS2N6rfeRnUO7hXKkhwNYYqy2/5qPpxas448BoBM7Licjn2e7y3KlrojIYQYUvSxsYx4/DFGvfIKxtRUnDU1lNxzDznnnEvz5s3+Dq/HJDka4nZtIeK7kaOEEUdhUFWaNQqFRT/t8/yYtrqjEqk7EkKIIcl05BEkv/cuMXfegcZspmXbNnLmnEfRnQtwVO57lmGgkeRoiPP2OvLhcn6dPoDRqru5enr+hn2eH5viHjkqz63H6dx7byQhhBCDk6LXE37hhYxeu4aQWbMAqH3vPTKnpVH1f8tRHfueaRgoJDka4iJMnuX8vi2GthrCAcio+G2f54ZGB2EM0uGwu6gqbPRpHEIIIQYWXWQk8YseIvGN1wkYOxZXfT2lDz1E9qwzafzxR3+H1yWSHA1xEd6aI9+NHAFYLUkAZNTl7fNcRaMQk+TpdyRTa8J/FEXZ62P+/Pnec08++WS0Wi0//PDDHveZP39+u+siIiKYNm0aW7du9Z6Tk5ODoihs7qDuYubMme3eS4ihKOjQQ0la8Tax996LNiSE1vR08i68iMIbb8JeUuLv8PZKkqMhLtzs+y7ZANboQwBIt9d06fwYb6dsKcoW/lNcXOx9PPnkk1gslnbHnnrqKQDy8vL4/vvvueaaa1i6dGmH95o2bZr3ui+++AKdTseMGTP688sRYsBTtFrCzj2HlLVrCD1vDigKdR9/TOap06l44QVUm29/NvmKJEdDXGRbI0hfT6vtN2oSADmKE3vrvqfKYlKkKFv4X2xsrPcREhLi3uLmL8cAXn75ZWbMmMFVV13FW2+9RWPjnn/HjUaj97rx48dz2223kZ+fT3l5eX9/WUIMeLqwMOLuuYekd1YQOH48alMT5Y89TtbpZ9Cw4Rt/h7cHSY6GuL5YrQYQE3MIZpeKQ1HI6UJRtmdarbasmZYGu09jEQOEqoKt0T8PH25foKoqL7/8MvPmzWP//fdnv/324+23397rNQ0NDbz22mtYrVYiIiJ8FosQQ03ggQeS+PprxD28CG1kJLacHPIvu4z8a67BVlDg7/C8dP4OQPSt8D6qOVI0GqyKgc3YySj8gVTrtL2eH2DSExoTRE1pEyXZtSQdFOnTeMQAYG+Ch+L98953FoHB5JNbff755zQ1NXHKKacAMG/ePJYuXcrf//73duetWrUKs9nd4LSxsZG4uDhWrVqFRiO/cwqxN4pGQ+jMmQSfcAIV/32GqldfpeHzL2jc8A0Rl11GxKWXoAkI8GuM8q94iIv0LOVvbPX55oDWgCgA0iu7tqdOrNQdiUFg6dKlnHvuueh07t8dzzvvPDZu3MjOnTvbnTd16lQ2b97M5s2b2bhxIyeffDJpaWnk5ub6I2whBh1tcDAxd9xOyvsrCTrySNTWVir++1+yps+g/osv/LqhrYwcDXGekaMWu4smmxOT0Xd/5KmhVigtIr2ha0OhMSkh/PFDiWxCO1Tpg9wjOP56bx+oqqri/fffx26389xzz3mPO51OXnrpJf797397j5lMJqxWq/f5hAkTCAkJ4YUXXuCBBx7w1i/V1u75972mpobExESfxCzEYGdMTWXUspepX7uW0n8/gr2wkIJ/XEPkddcSdfXVfolJRo6GuCCDlgC9+4+5ysd1R6kxhwGQ4ajv0vm7r1hTXf77jUD0EUVxT23546EoPvkSXnvtNUaOHMmWLVu8o0KbN2/mySef5JVXXsGxlyZ2iqKg0Whobm4GICwsjKioKH76qX0X+ebmZrZt28aYMWN8ErMQQ4GiKFjS0hj98WoirrgCjdlMyGmn+S0eSY6GOEVRiGhbsVbhw/3VAEYnTgagQAtNTRX7PD8i3oTOoMHW4qS6pMmnsQjhC0uXLuXss89m3Lhx7R4XX3wxNTU1rF692ntua2srJSUllJSUsGPHDq699loaGho4bbf/0G+++WYeeughli9fTmZmJj///DMXXnghOp2OefPm+eNLFGJA0wQFEX3D9VjXfYUhIcF/cfjtnUW/8a5Y83FRdni4lQinewQoK+erfZ6v0WqITmxrBilTa2KA2bRpE1u2bOGss87a47Xg4GBOPvnkdj2P1q5dS1xcHHFxcRx55JH89NNPrFixgilTpnjPufnmm3nggQdYvHgxhxxyCDNnzkRVVTZs2IDFYumPL0uIQUnbttjBX6TmaBjYtYWI75ttpWqDqKSZ9KIfGTd29j7Pj02xUJReQ2l2HWOP9dPKJiFwd7nevUv1hAkT9loA+uGHH3o/X7ZsGcuWLdvne2g0Gq6++mqu9lPdhBCiZ2TkaBgI90yr+bgRJIA1KBaA9Oo/u3R+TLK7SFWKsoUQQgxUkhwNA5Ft02pVPp5WA0gN2w+AjKbiLp3vKcquLGrE1jJ4dmgWQggxfEhyNAz0VZdsAGvc4QBkOLtWYG0KMRIcHgAqlOVIvyMhhBADjyRHw0B4H61WA7AmTgWgXKtQU53dpWtiUjxF2ZIcCSGEGHgkORoGPCNHfVGQHWSOZoTT/Xl67r5XrAHEeuuOJDkSQggx8EhyNAxE9NH+ah6pumAAMkp+6dL5u5pB1vq1PbwQQgjREUmOhoGItv3VqhptfZKMWE3uJfnpNRldOj8qIRiNTqG53k5dRYvP4xFCCCF6Q5KjYcAzcmRzuqhv9f0KsdTIAwHIaCnv0vlavYaoBPdokyzpF0IIMdBIcjQMBOi1mAxaoG+m1qwjjgIgQ21Fdbm6dI1nak2KsoUQQgw0khwNE7um1ny/Yi05YRI6VaVeo1BatrVL13iLsrNk5EgIIcTAIsnRMOFZsVbRByNHeqOJRJf7r1J63vouXeMZOarIb8Bhc/o8JiE6s27dOhRF6fQxdepUcnJyUBSFzZs3+ztcIYQfSHI0TPTl/moAqYZQADLKtnTp/OCIAAItBlwulfL8hj6JSYiOHHPMMRQXF+/xWLJkCYqiyD5oQghJjoaLiLZGkJV90AgSwBqcCEBGXdcaQSqKQuxuS/qF6C8Gg4HY2Nh2j+rqam655RbuvPNOZs/e9wbKQoihTefvAET/CO/DaTUAa9Q4qNlMemtVl6+JSbaQvaWCkiwpyh4KVFWl2dHsl/cO1AWiKEqPrq2pqWHmzJlMnjyZ+++/38eRCSEGI0mOhok+n1YbeSykv0oWDpwOG1qdYZ/X7OqULSNHQ0Gzo5kjXz/SL++9ce5GgvRB3b7O5XIxd+5ctFotr776ao8TLCHE0CLTasNEZNtqtco+WK0GMHLEUQS4VFo1CvkF33fpmqjEYBQFGqpbaajum7iE2Js777yT77//ng8++ACLxeLvcIQQA4SMHA0T4X28hYhGq2M0OrbhJKPgO5KSJu/zGkOAjvARZioLGijNqcUcFt0nsYn+EagLZOPcjX577+566623WLx4MatXryY1NbUPohJCDFaSHA0TnqX8lX00rQZgNUayzV5KesXvnNjFa2KTLe7kKKuO0YdKcjSYKYrSo6ktf9i8eTMXX3wxDz/8MKeccoq/wxFCDDCSHA0TntVqVY02XC4Vjcb3tRWpIclQUUp6fV6Xr4lNCWHbhiJKpO5I9JOKigpmzpzJlClTmDdvHiUlJe1e12q13s937ty5x/Vjx47FYNh3TZ0QYvCS5GiY8EyrOV0qdS12QoN8/597avR4qPiBDHvXEx1PM8jy3HqcThdarZTBib61evVqcnNzyc3NJS4ubo/XExMTWbduHQBz5szZ4/Xs7GySkpL6OEohhD8Nu59Ef/75J2eccQaRkZFYLBaOPfZYvvrqK3+H1ecMOg2WAHcu3GfL+Ue564zyNC5aW7qWIIVGB2EM0uGwu6gskGaQou9ddNFFqKra6SMnJ4ekpKROX5fESIihb9glR9OnT8fhcPDll1+yadMmxo8fz4wZM/YYWh+KPPur9VUjyKiosVhcKk5FISdvQ5euUTSKd/SoVDahFUIIMQAMq+SooqKCjIwMbr/9dg4++GBSU1N5+OGHaWpqYtu2bf4Or8/1da8jRaPBqrgTsD8Lf+jydTFt/Y6k7kgIIcRAMKySo4iICA444AD+7//+j8bGRhwOB0uWLCEmJoYJEyZ0el1rayt1dXXtHoORp+6oog9XrKUGxgCQUbWjy9d4txGRTtlCCCEGgGGVHCmKwmeffcavv/5KcHAwAQEBPPHEE6xdu5bQ0NBOr1u0aBEhISHeR0JCQv8F7UOeabWqPqo5AkgNtQKQ0VjU5Wuik9zJUW15M819GJsQQgjRFUMiOVq4cCGKouz18fPPP6OqKldffTXR0dFs2LCBH3/8kTPOOIMZM2ZQXFzc6f3vuOMOamtrvY/8/Px+/Op8J9Lb66jvulFbY90jcBmOrhdXB5j0hMW6++NI3ZEQQgh/GxJL+a+55poOl9zuLikpiS+//JJVq1ZRXV3t3Srg2Wef5bPPPuOVV17h9ttv7/Bao9GI0Wj0edz9ra+7ZANYk6bC5sUUaaGhvhhz8J5LpTsSk2yhuqSJ0uw6kg6K7LP4hBBCiH0ZEslRZGQkkZH7/oHa1NQEgEbTfsBMo9Hgcrn6JLaBJKKP91cDCAkZRbRTpUyrkJH7FePHze3SdTHJIfzxfQklWVKULYQQwr+GxLRaVx199NGEhYVx0UUXsWXLFv78809uueUWsrOzmT59ur/D63MR/TByBJCqNQGQUfxzl6+JTWkrys6pw+VS+yQuIYQQoiuGVXIUGRnJ2rVraWho4Pjjj2fixIl88803fPDBBxxyyCH+Dq/PefZX66ul/B7WIPdUWkZ1epevCY8zoTNqsbc4qS5p7KvQhBBCiH0aVskRwMSJE/nkk0+orKykrq6O77//nrS0NH+H1S+8+6s12XD24eiMNXwMAOlNnRe5/5VGqyEmMRiQomwxeK1btw5FUaipqen0nIULFzJ+/Pi93mfKlClcf/313udJSUk8+eSTPolRCLFvwy45Gs7CgvQAqCpUN/Xhcv4RRwKQobZ06zpPM8hSqTsSfWj+/PnMnDlzj+OdJTZjxozBYDBQWFjok/e/+eab+eKLL7p1zU8//cTll1/uk/cXQuybJEfDiE6r8SZIfTm1ljJqCoqqUqVRqKz4s8vXebYRKZGRIzFAfPPNN7S0tDB79myWLVvmk3uazWYiIiK6dU1UVBRBQUE+eX8hxL5JcjTMeFasVfTR/moAgUHhJLgUADLy1nX5Ok9yVFXciK3Z0RehiT6kqiqupia/PFS1b6aJly5dyty5c7ngggt46aWXuvw+mzZtYuLEiQQFBXHMMcewc+dO72tdmVb7q79Oq6WnpzNp0iQCAgIYO3Ysn332GYqi8P7773frvkKIjg2Jpfyi68L7eH81D6veQp6rjvTSXziyi9eYQowERwRQX9lCaW4dCfuH92mMwrfU5mZ2Htb5Njx9acwvm1B8PLJSX1/PihUr2LhxI/vvvz+NjY2sW7eOqVOn7vPaBQsW8NhjjxEVFcWVV17JxRdfzLfffuuTuFwuF2eeeSaRkZH88MMP1NXVtatPEkL0niRHw4y3S3ZfL+c3J/Bl3TYyarK6dV1sssWdHGVJciT6zqpVqzCbze2OOZ3Ods/ffPNNUlNTOfDAAwGYM2cOS5cu7VJy9OCDDzJ58mQAbr/9dqZPn05LSwsBAQG9jv3zzz9nx44d5OTkMHLkSAAeeuihYbOwRIj+IMnRMLOrS3bfTasBWCPGQt020lsqunVdTHII6T+XUZotRdmDjRIYyJhfNvntvbtj6tSpPPfcc+2Obdy4kXnz5nmfL126tN3zefPmMWnSJGpqaggNDSUtLY0NGzYAkJiYyLZt27znHnzwwd7P4+LcrS3KysoYNWpUu/fcsGFDu6RmyZIlnH/++XuNfceOHYwaNcqbGIG7h5sQwnckORpmPMv5K/t4Wi11xNGQvYIMbKguF4qma+VtMSm7irJVVUVRlL4MU/iQoig+n9rqKyaTCavV2u5YQUGB9/Pt27ezceNGfvrpJ2677TbvcafTyRtvvMFVV13Fiy++SHNzMwB6vb7dvXZ/7vk73FEX/okTJ7J582bv85iYmH3G3lHdk/w7EcK3JDkaZvprWm3UqGPRqSpNGoWi4p8ZMeKILl0XNTIYjU6hpcFOXUUzIVGD44etGFqWLl3KpEmTeOaZZ9odX758OUuXLuWqq65ixIgRvX6fwMDAPZK0fRk7dix5eXkUFRURHx8PwPfff9/rWIQQu8hqtWEm3NT3+6sB6PVBpKhaADLyv+nydVq9hqgEdzPIkixZ0i/6n91uZ/ny5Zx33nmMGzeu3ePSSy9l06ZNbNmyxW/xnXjiiYwZM4YLL7yQLVu2sGHDBhYsWOC3eIQYiiQ5GmY8W4j09bQagNUQBkB6+dZuXRfraQYp/Y6EH6xfv57KykpmzZq1x2upqakcdNBBLF261A+RuWk0GlauXElraytHHHEEl156KQ8++KDf4hFiKJJptWGmvzafBUgNToTqSjLqcrt1XUyKBb5EirJFn+ismeOUKVO89Tx/Xbm2u61bO0/2d7+Hx/jx49sdW7hwIQsXLtxrjOvWrWv3PCcnp93z/fbbz1sMLoTwPRk5GmY8TSBrm+3YnXsWiPqSNdq9YifdVtWt6zzNICvyG3DYOv8hJYQQQvQFSY6GmdBAPZq2hS3Vfb1iLeFvAGQrTuz2pi5fFxweQJDFgMulUp5X31fhCSGEEB2S5GiY0WgUb6+jij6eWouLPYwgl4pdUcgv6PpqGkVRZJ81IbpJVdUON9QVQnSfJEfDkKfXUV9vIaLR6rDi7veSXvBdt66NTfEUZUvdkRBCiP4lydEw5O2S3cfL+QGsAZEApFds28eZ7XlGjmTFmhBCiP4mydEwFNFPjSABUkNHA5DRkN+t66ITLSgKNFS30lDd0hehCSGEEB2S5GgYijT3TyNIAGv0oQBk2Ls3AqQ3aokY6d4YVEaPhBBC9CdJjoah8H7sdWRNdO9MnqdRaWmu7ta1MW3NIKUoWwghRH+S5GgY6s8u2RHh+xHmUlEVhczcr7p1bay37kiKsoUQQvQfSY6GoV1dsvt+Wk3RaEhVAgDIKPqxW9d6irLLcutx9nHDSiGEEMJDkqNhyNMlu6+X8ntYg2IByKja2a3rQqODMAbpcNpdVBY09EVoYhiaP39+h/2A1q1bh6Io1NTUtDs+ZswYDAYDhYWF/ROgEMLvJDkahvpzfzUAa2gqAOmNRd26TtEosqRf+NU333xDS0sLs2fP7nRPNiHE0CPJ0TDkaQJZ3+qg1dH3e5elxk0EIN3Z2O1rdxVlS93RQKeqKvZWp18ef93s1VeWLl3K3LlzueCCC3jppZe69D55eXmcccYZmM1mLBYL55xzDqWlpd7XFy5cyPjx41m+fDlJSUmEhIQwZ84c6ut3bZWjqiqPPPIIKSkpBAYGcsghh/DOO+/0ydcohNiTzt8BiP5nCdSh0yg4XCpVjTbiQgL79P2sScfDLw9TplWorc0jJGRUl6/1FmVnycjRQOewufjfP7/2y3tf/tRk9EatT+9ZX1/PihUr2LhxI/vvvz+NjY2sW7eOqVOndnqNZwsPk8nE119/jcPh4Oqrr+bcc89l3bp13vMyMzN5//33WbVqFdXV1Zxzzjk8/PDDPPjggwDcddddvPfeezz33HOkpqayfv165s2bR1RUFJMnT/bp1ymE2JMkR8OQoihEmA2U1rVS2dD3yZE5OI44p0qxViEzZx2HHXJhl6+NTnInR7XlzTQ32AhsW2knRG+sWrUKs9nc7pjT2X4U9c033yQ1NZUDDzwQgDlz5rB06dK9Jkeff/45W7duJTs7m4SEBACWL1/OgQceyE8//cThhx8OgMvlYtmyZQQHBwNwwQUX8MUXX/Dggw/S2NjI448/zpdffsnRRx8NQEpKCt988w1LliyR5EiIfiDJ0TAVbjJSWtdKRT+sWAOw6swUq41klGzqVnIUYNITFhtEdUkTpdl1JB0U2YdRit7QGTRc/pR/fnDrDN2rEJg6dSrPPfdcu2MbN25k3rx53udLly5t93zevHlMmjSJmpoaQkNDSUtLY8OGDQAkJiaybds2duzYQUJCgjcxAhg7diyhoaHs2LHDmxwlJSV5EyOAuLg4ysrKANi+fTstLS2cdNJJ7eKz2Wwceuih3fo6hRA9I8nRMBXZNgLTbyvWTPFsaEjnz5r0bl8bk2yR5GgQUBTF51NbfcVkMmG1WtsdKygo8H6+fft2Nm7cyE8//cRtt93mPe50OnnjjTe46qqrePHFF2lubgZAr3dvsKyqKoqi7PF+fz3uOd9DURRcLne7Cs/H1atXM2LEiHbnGY3Gbn+tQojuk+RomOrPLtkAqeFjoSGdjOaybl8bkxzCH9+XUJIlRdmifyxdupRJkybxzDPPtDu+fPlyli5dylVXXbVH4gLuUaK8vDzy8/O9o0fbt2+ntraWAw44oEvvPXbsWIxGI3l5eTKFJoSfSHI0THlWrPVHl2yA1PgjIO8DMtQWVJcLRdP1aZDYlLai7Jw6XC4VjWbP38yF8BW73c7y5cu57777GDduXLvXLr30Uh555BG2bNnCIYccsse1J554IgcffDDnn38+Tz75pLcge/LkyUycOLFL7x8cHMzNN9/MDTfcgMvl4rjjjqOuro7vvvsOs9nMRRdd5JOvUwjROVnKP0x5txDpp5qj5MTJaFSVWo1CRcWObl0bHmdCZ9Rib3FSXdL9dgBCdMf69euprKxk1qxZe7yWmprKQQcdxNKlSzu8VlEU3n//fcLCwpg0aRInnngiKSkpvPXWW92K4f777+fuu+9m0aJFHHDAAZxyyil89NFHJCcn9+hrEkJ0j6L2VYOQIayuro6QkBBqa2uxWCz+DqdH3vwxj9vf+43j94/mpfmH98t7nvbSweRoVZaMvZJjDv9Ht659//FfKPyzhqkX7M/YY+P7KELRHS0tLWRnZ5OcnExAQIC/wxH7IH9eQnT957eMHA1Tni1E+mtaDSBV727omF62pdvXeppBlkrdkRBCiD4mydEwFd6Pm896pAa7C1QzarO6fa1nG5ES2UZECCFEH5PkaJjq76X8ANZId3FrRmtlt6/1JEdVxY3Ymh0+jUsIIYTYnSRHw5RnWq3J5qTJ1j/JhnXkMQBkYsfl7N57mkKMBEcEgAqluTJ6JIQQou9IcjRMmQxaDDr3H39/9ToaNfIYDKpKs0ahsGhjt6+XfdaEEEL0B0mOhilFUYg09e/UmlZnYLTqbq2Vnv9tt6/3FmVnS1G2EEKIviPJ0TAW7ul11Nh/RdlWQzgAGRW/dfvamJRdRdnSgUIIIURfkeRoGPN2ye6naTUAqyUJgPS63G5fGzUyGI1OoaXBTl1Fs48jE0IIIdwkORrGvF2y+7PXUcx4ADJsNd2+VqvXEJXg3sm8ROqOhBBC9BFJjoaxCH/0Okr4GwA5Ghf21u5vBRLrrTuS5EgIIUTfkORoGPNHl+yYmEMwu1QcikJO/obuX+/ZhFaKskUPzZ8/n5kzZ+5xfN26dSiKQk1NTbvjY8aMwWAwUFhYuM97d3YPIcTgIsnRMLarS3b/JUeKRoNVcb9veuH33b7e0wyyIr8Bh83p09iE+KtvvvmGlpYWZs+ezbJly/wdjhCin0hyNIz5o0s2QGpANAAZldu7fW1weABBFgMul0p5Xr2vQxO9oKoq9pYWvzz6avXi0qVLmTt3LhdccAEvvfTSXt8nJyeHqVOnAhAWFoaiKMyfP5+PPvqI0NBQXC4XAJs3b0ZRFG655RbvtVdccQXnnXee9/m7777LgQceiNFoJCkpiccee6xPvj4hRMd0/g5A+M+u1Wr9V3MEYA0dDaWFpDfse5rirxRFISbZQvaWCkqy64izhvo+QNEjjtZW/nPR2X557+teeQe9j3ear6+vZ8WKFWzcuJH999+fxsZG1q1b502A/iohIYF3332Xs846i507d2KxWAgMDPTe69dff2XChAl8/fXXREZG8vXXX3uvXbduHTfccAMAmzZt4pxzzmHhwoWce+65fPfdd1x99dVEREQwf/58n36NQoiOycjRMOaZVqtotPVr36DUmMMAyHD0bOQnNkWaQYreWbVqFWazud0jLS2t3TlvvvkmqampHHjggWi1WubMmcPSpUs7vadWqyU83N3HKzo6mtjYWEJCQggJCWH8+PGsW7cO2JUIbdmyhfr6ekpKSvjzzz+ZMmUKAI8//jgnnHAC//rXv9hvv/2YP38+11xzDY8++miffC+EEHuSkaNhzLOU3+Zw0WhzYjb2z18Ha+IU2PokBVpoaigjyBzdres9dUeyYm1g0RmNXPfKO3577+6YOnUqzz33XLtjGzduZN68ed7nS5cubfd83rx5TJo0iZqaGkJDQ0lLS2PDBveigsTERLZt29bp+02ZMoV169Zx4403smHDBh544AHeffddvvnmG2pqaoiJiWH//fcHYMeOHZxxxhntrj/22GN58skncTqdaLXabn2tQojuk+RoGAsy6AgyaGmyOalsaO235CgsfDSRTpUKrUJm7tccdODsbl0fnWhBUaChupWG6hbMYb6dThE9oyiKz6e2+orJZMJqtbY7VlBQ4P18+/btbNy4kZ9++onbbrvNe9zpdPLGG29w1VVX8eKLL9Lc7G5Gqtfr9/p+U6ZMYenSpWzZsgWNRsPYsWOZPHkyX3/9NdXV1UyePNl7rqqqKIrS7nrpCC9E/5JptWHOO7XWjyvWAKzaIAAyin/s9rV6o5aIkWZARo9E31i6dCmTJk1iy5YtbN682fu49dZbvVNrI0aMwGq1YrVaSUxMBMBgcP97cjrbr6ScNGkS9fX1PPnkk0yePBlFUZg8eTLr1q1j3bp17ZKjsWPH8s0337S7/rvvvmO//faTUSMh+okkR8Ocp9dRf69YswbFApBe/WePrvdsQlsiyZHwMbvdzvLlyznvvPMYN25cu8ell17Kpk2b2LJlS4fXJiYmoigKq1atory8nIaGBgBv3dGrr77qrS2aNGkSv/zyS7t6I4CbbrqJL774gvvvv58///yTV155hf/+97/cfPPNff2lCyHaSHI0zPmjSzZAath+AKQ3Fffo+thkaQYp+sb69euprKxk1qxZe7yWmprKQQcd1Glh9ogRI7j33nu5/fbbiYmJ4ZprrvG+NnXqVJxOpzcRCgsLY+zYsURFRXHAAQd4zzvssMN4++23efPNNxk3bhx333039913n6xUE6IfKapMZndbXV0dISEh1NbWYrFY/B1Or9yyYgsrNhVwyylj+MdU674v8JHftq1g7s/3EelU+eri37t9fXVJI68v3IhWr+GyJyeh1Uqe399aWlrIzs4mOTmZgEFSazScyZ+XEF3/+S0/UYY57xYi/VxzNDrRXWNRoVWorsrs9vWh0UEYg3Q47S4qCxp8HZ4QQohhTJKjYc47rdbYv9NqQeZoRrTVrGbkfb33kzugaBRZ0i+EEKJPSHI0zEX4aQsRgFRdMADpJZt6dP2uomypOxJCCOE7khwNc/5ayg+Qah4BQEZN96fVYLei7CwZORJCCOE7khwNc5Hepfz9O60GYI0YC0BGS3mPro9OcidHteXNNPshuRNusqZjcJA/JyG6TpKjYc4zrVbZ0L/7qwFYRxwFQIbaitq2Y3l3BJj0hMW6m0lK3VH/8zQktNkkMR0MmpqagH138xZCyPYhw55nWs3hUqlrdhAS1H//cSYnTEKnqtRrFEpLtxAbd2i37xGTbKG6pInS7DqSDorsgyhFZ3Q6HUFBQZSXl6PX69Fo5HetgUhVVZqamigrKyM0NFS6bAvRBZIcDXNGnZZgo476VgeVja39mhzpjSaSXBoytCrp+Rt6mByF8Mf3JZRkSVF2f1MUhbi4OLKzs8nNzfV3OGIfQkNDiY2N9XcYQgwKkhwJws2GtuTIRkpU/7631RBKhrOajLIt/K0H18emtBVl59ThcqloNMo+rhC+ZDAYSE1Nlam1AU6v18uIkRDdIMmRIMJkILeyqd8bQQJYgxOhppqMuuweXR8eZ0Jn1GJvcVJd0khEvNnHEYp90Wg00nFZCDGkDKkigQcffJBjjjmGoKAgQkNDOzwnLy+P0047DZPJRGRkJNddd92w/63X2yXbHyvWosYBkN5a1aPrNVoNMYnufklSlC2EEMIXhlRyZLPZmD17NldddVWHrzudTqZPn05jYyPffPMNb775Ju+++y433XRTP0c6sOzafLb/k8T9Eo4DIFNx4HT07P09zSBLpe5ICCGEDwypabV7770XgGXLlnX4+qeffsr27dvJz88nPj4egMcee4z58+fz4IMPDvpNZHvKn12yR8QfSYBLpUWjkF/wPUlJk7t9D882IiUyciSEEMIHhlRytC/ff/8948aN8yZGAKeccgqtra1s2rSJqVOndnhda2srra27ppxqa90jFHV1Q+OHcRA2XK1NFJVV+uVrGtWssEPjZPPOLwgP7/6KtaBIhWZbI4W5jZSXVmEMHFZ/rYUQQnSR52fcvvr6DaufIiUlJcTExLQ7FhYWhsFgoKSkpNPrFi1a5B2V2l1CQoLPY/SnF4AXLvPf+8/ifuD+Xt3jlpd8E4sQQoihq76+npCQkE5fH/DJ0cKFCztMTHb3008/MXHixC7dT1H2XOqtqmqHxz3uuOMObrzxRu9zl8tFVVUVERERe72uu+rq6khISCA/P3/YTvH1F/le9w/5PvcP+T73H/le94+++j6rqkp9fX27GaSODPjk6JprrmHOnDl7PScpKalL94qNjWXjxo3tjlVXV2O32/cYUdqd0WjEaDS2O9bZajhfsFgs8o+un8j3un/I97l/yPe5/8j3un/0xfd5byNGHgM+OYqMjCQy0jfbQhx99NE8+OCDFBcXExcXB7iLtI1GIxMmTPDJewghhBBicBvwyVF35OXlUVVVRV5eHk6nk82bNwNgtVoxm82cfPLJjB07lgsuuIBHH32Uqqoqbr75Zi677DL5DUAIIYQQwBBLju6++25eeeUV7/NDD3WvfPrqq6+YMmUKWq2W1atXc/XVV3PssccSGBjI3LlzWbx4sb9CbsdoNHLPPffsMYUnfE++1/1Dvs/9Q77P/Ue+1/3D399nRd3XejYhhBBCiGFkSHXIFkIIIYToLUmOhBBCCCF2I8mREEIIIcRuJDkSQgghhNiNJEcDyLPPPktycjIBAQFMmDCBDRs2+DukQWX9+vWcdtppxMfHoygK77//frvXVVVl4cKFxMfHExgYyJQpU9i2bVu7c1pbW7n22muJjIzEZDJx+umnU1BQ0I9fxcC3aNEiDj/8cIKDg4mOjmbmzJns3Lmz3Tnyve695557jv9v7/5javr/OIA/T7o37bLkV1caIr8qXZNFWLf4rBgb4w+aGWNGlMLy848wo40ZNmOLGfNH/ojNz5TpXlpDuvfqJsuP/JpKMyKiUq/vH9b53is+3+90r66752O7W73f79s553nv6rl7z7lFRUWpH4IXGxuLq1evqvPM2D327t0LRVGQkZGhjjFr19ixYwcURXG66fV6dd6jchbyCLm5uaLRaCQnJ0cqKyslPT1ddDqdvHjxort37a9x5coV2b59u+Tl5QkAOX/+vNN8dna29O7dW/Ly8sRut8vChQtl0KBB8vHjR3XN6tWrZfDgwVJYWCgWi0USEhLEYDDIt2/f/vDReK6kpCQ5efKkVFRUiM1mk9mzZ8uQIUPk06dP6hpm3XUXLlyQy5cvS1VVlVRVVcm2bdtEo9FIRUWFiDBjd7h7964MGzZMoqKiJD09XR1n1q6RlZUlERERUltbq97q6+vVeU/KmeXIQ8TExMjq1audxsaMGSNbtmzppj36u/1Yjtrb20Wv10t2drY69vXrVwkICJBjx46JiEhDQ4NoNBrJzc1V17x+/Vp8fHwkPz//j+3736a+vl4AiNlsFhFm7U6BgYFy/PhxZuwGjY2NMnLkSCksLBSj0aiWI2btOllZWWIwGH4652k58201D9DS0oKysjIkJiY6jScmJqKkpKSb9sq7PHv2DHV1dU4Z+/n5wWg0qhmXlZWhtbXVaU1wcDAiIyP5OPyLDx8+AAD69u0LgFm7Q1tbG3Jzc/H582fExsYyYzdYu3YtZs+ejX/++cdpnFm71uPHjxEcHIzQ0FAsWrQI1dXVADwvZ6/6hOy/1du3b9HW1tbpn98GBQWhrq6um/bKu3Tk+LOMX7x4oa7RarUIDAzstIaPw8+JCDZs2IBp06YhMjISALN2JbvdjtjYWHz9+hW9evXC+fPnER4erv4hYMaukZubC4vFgtLS0k5zfD67zqRJk3D69GmMGjUKb968we7duzFlyhQ8ePDA43JmOfIgiqI4fS8incaoa34nYz4Ov5aamory8nIUFxd3mmPWXTd69GjYbDY0NDQgLy8PS5cuhdlsVueZcde9evUK6enpKCgoQM+ePX+5jll33axZs9Svx40bh9jYWIwYMQKnTp3C5MmTAXhOznxbzQP0798fPXr06NR86+vrO7Vo+j0dV0T8W8Z6vR4tLS14//79L9fQf6WlpeHChQsoKipCSEiIOs6sXUer1SIsLAwTJ07E3r17YTAYcOjQIWbsQmVlZaivr0d0dDR8fX3h6+sLs9mMw4cPw9fXV82KWbueTqfDuHHj8PjxY497TrMceQCtVovo6GgUFhY6jRcWFmLKlCndtFfeJTQ0FHq93injlpYWmM1mNePo6GhoNBqnNbW1taioqODj4EBEkJqainPnzuHGjRsIDQ11mmfW7iMiaG5uZsYuNGPGDNjtdthsNvU2ceJELF68GDabDcOHD2fWbtLc3IyHDx9i0KBBnvecdunp3fTbOi7lP3HihFRWVkpGRobodDp5/vx5d+/aX6OxsVGsVqtYrVYBIAcOHBCr1ap+HEJ2drYEBATIuXPnxG63S3Jy8k8vEw0JCZHr16+LxWKR6dOn83LcH6SkpEhAQICYTCanS3KbmprUNcy667Zu3So3b96UZ8+eSXl5uWzbtk18fHykoKBARJixOzlerSbCrF1l48aNYjKZpLq6Wm7fvi1z5syR3r17q3/nPClnliMPcuTIERk6dKhotVqZMGGCemk0/X+KiooEQKfb0qVLReT7paJZWVmi1+vFz89P4uLixG63O/2ML1++SGpqqvTt21f8/f1lzpw58vLly244Gs/1s4wByMmTJ9U1zLrrli9frv4+GDBggMyYMUMtRiLM2J1+LEfM2jU6PrdIo9FIcHCwzJ8/Xx48eKDOe1LOioiIa1+LIiIiIvp78ZwjIiIiIgcsR0REREQOWI6IiIiIHLAcERERETlgOSIiIiJywHJERERE5IDliIiIiMgByxERERGRA5YjIvIKy5Ytg6IoUBQFvr6+GDJkCFJSUjr9k0p3y8jIwLx58/7oNonItViOiMhrzJw5E7W1tXj+/DmOHz+OixcvYs2aNX90H0pLSxETE/NHt0lErsVyRERew8/PD3q9HiEhIUhMTMTChQtRUFCgzjc3N2PdunUYOHAgevbsiWnTpqG0tFSdv3jxIvr06YP29nYAgM1mg6IoyMzMVNesWrUKycnJnbbd2toKrVaLkpISbN++HYqiYNKkSW48WiJyF5YjIvJK1dXVyM/Ph0ajUcc2bdqEvLw8nDp1ChaLBWFhYUhKSsK7d+8AAHFxcWhsbITVagUAmM1m9O/fH2azWf0ZJpMJRqOx0/Z69OiB4uJiAN9LVW1tLa5du+bOQyQiN2E5IiKvcenSJfTq1Qv+/v4YMWIEKisrsXnzZgDA58+fcfToUezbtw+zZs1CeHg4cnJy4O/vjxMnTgAAAgICMH78eJhMJgDfi9D69etx//59NDY2oq6uDo8ePUJ8fHynbfv4+KCmpgb9+vWDwWCAXq9Hnz59/tCRE5ErsRwRkddISEiAzWbDnTt3kJaWhqSkJKSlpQEAnj59itbWVkydOlVdr9FoEBMTg4cPH6pj8fHxMJlMEBHcunULc+fORWRkJIqLi1FUVISgoCCMGTPmp9u3Wq0wGAzuPUgicjuWIyLyGjqdDmFhYYiKisLhw4fR3NyMnTt3AgBEBACgKIrTfUTEaSw+Ph63bt3C/fv34ePjg/DwcBiNRpjN5l++pdbBZrOxHBF5AZYjIvJaWVlZ2L9/P2pqahAWFgatVqueFwR8P4n63r17GDt2rDrWcd7RwYMHYTQaoSgKjEYjTCbT/yxHdrsdUVFRbj0mInI/liMi8lrx8fGIiIjAnj17oNPpkJKSgszMTOTn56OyshIrV65EU1MTVqxYod6n47yjM2fOqOcWxcXFwWKx/PJ8ow7t7e0oLy9HTU0NPnz44OajIyJ3YTkiIq+2YcMG5OTk4NWrV8jOzsaCBQuwZMkSTJgwAU+ePMG1a9cQGBjodJ+EhAS0tbWpRSgwMBDh4eEYMGCA06tMP9q9ezfOnj2LwYMHY9euXe48LCJyI0U63ognIiIiIr5yREREROSI5YiIiIjIAcsRERERkQOWIyIiIiIHLEdEREREDliOiIiIiBywHBERERE5YDkiIiIicsByREREROSA5YiIiIjIAcsRERERkQOWIyIiIiIH/wHjaCLFIhFdmAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for m in qt_models:\n",
    "    plt.plot(np.log10(np.abs(Fs[m]).max(axis=1)), label=m)\n",
    "plt.ylim([-10, 0])\n",
    "plt.ylabel(r'$\\log_{10}(\\max_s F_{ts})$')\n",
    "plt.xlabel(r'Row $t$')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To verify that there is indeed a steady (albeit slow) log rate of convergence for HA-two, we'll plot it separately starting at the 200th row:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = 'HA-two'\n",
    "plt.plot(range(300, T), np.log10(np.abs(Fs[m][300:]).max(axis=1)), label=m)\n",
    "plt.ylabel(r'$\\log_{10}(\\max_s F_{ts})$')\n",
    "plt.xlabel(r'Row $t$')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have thus verified quasi-Toeplitz structure, which is easily visible in the Jacobians themselves (see e.g. Figure 3)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Constructing symbols\n",
    "Now we verify determinacy. First, we construct the *symbols* of the quasi-Toeplitz asset Jacobians: the asymptotic impulse response to infinitely anticipated shocks. There are several ways to do this, all of which for high enough $T$ are equivalent. Here, we'll take the last column and the (flipped) last row:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "asym = {m: np.concatenate((As[m][:, -1], As[m][-1, :-1][::-1])) for m in qt_models}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quickly plotting the symbols near the middle, we see that they decay fairly quickly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for m in qt_models:\n",
    "    plt.plot(np.arange(-300, 301), asym[m][T-1-300:T-1+301], label=m)\n",
    "plt.title(r'Symbol $a_t$ of asset Jacobian')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected from earlier, the slowest convergence (evident from a log scale) is for HA-two, which has high persistence for shocks that happened in the past:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for m in qt_models:\n",
    "    plt.plot(np.arange(-300, 301), np.log10(np.abs(asym[m][T-1-300:T-1+301])), label=m)\n",
    "plt.title(r'Log absolute symbol $a_t$ of asset Jacobian')\n",
    "plt.ylim([-10, 0])\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculating winding number\n",
    "Now, as described in the *Determinacy and Existence in the Sequence Space* note, we calculate and make a plot for each of our models, verifying that they have unique solutions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from winding_number import winding_number\n",
    "for m in qt_models:\n",
    "    plt.figure()\n",
    "    num = winding_number(asym[m], plot=True)\n",
    "    plt.title(f'Plot for {m}: winding number of {num}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    " Note that the ZL model's winding number numerically comes out as zero, but from the plot it is clear that the curve exactly intersects the origin once. Indeed, its symbol $a(z)$ evaluates to zero at exactly $z=1$, as we can easily test:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.0531133177191805e-16"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "asym['ZL'].sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This reflects the fact that the ZL model is at the knife-edge of indeterminacy, and reveals the importance of plotting!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we will do some additional checks for HA-two, since it has the least well-behaved winding number plot, which corresponds to the fact that its symbol is not zero at our truncation horizon. As an alternative, we'll extrapolate to make the symbol longer and then recalculate the winding number:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "asym_two = asym['HA-two']\n",
    "\n",
    "# make a new symbol centered around 4*T-1 instead of T-1\n",
    "asym_two_alt = np.zeros(8*T-1)\n",
    "asym_two_alt[3*T:5*T-1] = asym_two\n",
    "\n",
    "# fill in later entries by extrapolation\n",
    "t = 5*T-100\n",
    "rat = asym_two_alt[t]/asym_two_alt[t-1]\n",
    "asym_two_alt[t:] = asym_two_alt[t-1]*(rat**np.arange(8*T-1-t))\n",
    "\n",
    "# recalculate winding number, also evaluating at more points\n",
    "num = winding_number(asym_two_alt, plot=True, Ninterp=50000)\n",
    "plt.title(f'Plot for HA-two: winding number of {num}');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that although this graph has fewer crazy spirals (artifacts from truncation), it is still not close to having a non-zero winding number."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
